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Finding the Fourth Proportional to 101,777.54, 152,524.08 and 86,706.14

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Solution

The fourth proportional to 101,777.54, 152,524.08 and 86,706.14 is: 129,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,777.54 : 152,524.08 = 86,706.14 : x
  2. Step 2: Convert to fraction form
    101,777.54/152,524.08 = 86,706.14/x
  3. Step 3: Cross multiply
    101,777.54x = 152,524.08 × 86,706.14
  4. Step 4: Simplify right side
    101,777.54x = 13,224,773,471.23
  5. Step 5: Solve for x
    x = 13,224,773,471.23/101,777.54
  6. Step 6: Final answer
    x = 129,938.04

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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.