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Finding the Fourth Proportional to 130,593.50, 195,890.22 and 86,209.86

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Solution

The fourth proportional to 130,593.50, 195,890.22 and 86,209.86 is: 129,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,593.50 : 195,890.22 = 86,209.86 : x
  2. Step 2: Convert to fraction form
    130,593.50/195,890.22 = 86,209.86/x
  3. Step 3: Cross multiply
    130,593.50x = 195,890.22 × 86,209.86
  4. Step 4: Simplify right side
    130,593.50x = 16,887,668,441.57
  5. Step 5: Solve for x
    x = 16,887,668,441.57/130,593.50
  6. Step 6: Final answer
    x = 129,314.77

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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.