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Finding the Fourth Proportional to 486,810.92, 730,132.14 and 131,742.02

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Solution

The fourth proportional to 486,810.92, 730,132.14 and 131,742.02 is: 197,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,810.92 : 730,132.14 = 131,742.02 : x
  2. Step 2: Convert to fraction form
    486,810.92/730,132.14 = 131,742.02/x
  3. Step 3: Cross multiply
    486,810.92x = 730,132.14 × 131,742.02
  4. Step 4: Simplify right side
    486,810.92x = 96,189,082,990.52
  5. Step 5: Solve for x
    x = 96,189,082,990.52/486,810.92
  6. Step 6: Final answer
    x = 197,590.23

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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.