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Finding the Fourth Proportional to 191,710.92, 287,566.50 and 86,406.86

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Solution

The fourth proportional to 191,710.92, 287,566.50 and 86,406.86 is: 129,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,710.92 : 287,566.50 = 86,406.86 : x
  2. Step 2: Convert to fraction form
    191,710.92/287,566.50 = 86,406.86/x
  3. Step 3: Cross multiply
    191,710.92x = 287,566.50 × 86,406.86
  4. Step 4: Simplify right side
    191,710.92x = 24,847,718,306.19
  5. Step 5: Solve for x
    x = 24,847,718,306.19/191,710.92
  6. Step 6: Final answer
    x = 129,610.34

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