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Finding the Fourth Proportional to 196,857,253.20, 295,197,406.20 and 75,648,421.20

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Solution

The fourth proportional to 196,857,253.20, 295,197,406.20 and 75,648,421.20 is: 113,438,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,857,253.20 : 295,197,406.20 = 75,648,421.20 : x
  2. Step 2: Convert to fraction form
    196,857,253.20/295,197,406.20 = 75,648,421.20/x
  3. Step 3: Cross multiply
    196,857,253.20x = 295,197,406.20 × 75,648,421.20
  4. Step 4: Simplify right side
    196,857,253.20x = 22,331,217,721,365,092
  5. Step 5: Solve for x
    x = 22,331,217,721,365,092/196,857,253.20
  6. Step 6: Final answer
    x = 113,438,633.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.