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Finding the Fourth Proportional to 354,189.92, 531,143.91 and 129,499.16

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Solution

The fourth proportional to 354,189.92, 531,143.91 and 129,499.16 is: 194,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,189.92 : 531,143.91 = 129,499.16 : x
  2. Step 2: Convert to fraction form
    354,189.92/531,143.91 = 129,499.16/x
  3. Step 3: Cross multiply
    354,189.92x = 531,143.91 × 129,499.16
  4. Step 4: Simplify right side
    354,189.92x = 68,782,687,528.40
  5. Step 5: Solve for x
    x = 68,782,687,528.40/354,189.92
  6. Step 6: Final answer
    x = 194,197.19

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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.