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Finding the Fourth Proportional to 196,749.80, 295,124.70 and 49,005.80

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Solution

The fourth proportional to 196,749.80, 295,124.70 and 49,005.80 is: 73,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,749.80 : 295,124.70 = 49,005.80 : x
  2. Step 2: Convert to fraction form
    196,749.80/295,124.70 = 49,005.80/x
  3. Step 3: Cross multiply
    196,749.80x = 295,124.70 × 49,005.80
  4. Step 4: Simplify right side
    196,749.80x = 14,462,822,023.26
  5. Step 5: Solve for x
    x = 14,462,822,023.26/196,749.80
  6. Step 6: Final answer
    x = 73,508.70

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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.