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Finding the Fourth Proportional to 136,082.50, 187,800.25 and 75,654.14

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Solution

The fourth proportional to 136,082.50, 187,800.25 and 75,654.14 is: 104,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,082.50 : 187,800.25 = 75,654.14 : x
  2. Step 2: Convert to fraction form
    136,082.50/187,800.25 = 75,654.14/x
  3. Step 3: Cross multiply
    136,082.50x = 187,800.25 × 75,654.14
  4. Step 4: Simplify right side
    136,082.50x = 14,207,866,405.54
  5. Step 5: Solve for x
    x = 14,207,866,405.54/136,082.50
  6. Step 6: Final answer
    x = 104,406.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.