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Finding the Fourth Proportional to 196,811.40, 295,260.30 and 97,019.40

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Solution

The fourth proportional to 196,811.40, 295,260.30 and 97,019.40 is: 145,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,811.40 : 295,260.30 = 97,019.40 : x
  2. Step 2: Convert to fraction form
    196,811.40/295,260.30 = 97,019.40/x
  3. Step 3: Cross multiply
    196,811.40x = 295,260.30 × 97,019.40
  4. Step 4: Simplify right side
    196,811.40x = 28,645,977,149.82
  5. Step 5: Solve for x
    x = 28,645,977,149.82/196,811.40
  6. Step 6: Final answer
    x = 145,550.40

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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.