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Finding the Fourth Proportional to 101,524.16, 152,119.78 and 71,888.79

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Solution

The fourth proportional to 101,524.16, 152,119.78 and 71,888.79 is: 107,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,524.16 : 152,119.78 = 71,888.79 : x
  2. Step 2: Convert to fraction form
    101,524.16/152,119.78 = 71,888.79/x
  3. Step 3: Cross multiply
    101,524.16x = 152,119.78 × 71,888.79
  4. Step 4: Simplify right side
    101,524.16x = 10,935,706,169.10
  5. Step 5: Solve for x
    x = 10,935,706,169.10/101,524.16
  6. Step 6: Final answer
    x = 107,715.31

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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.