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Finding the Fourth Proportional to 87,806.40, 131,709.60 and 83,432.40

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Solution

The fourth proportional to 87,806.40, 131,709.60 and 83,432.40 is: 125,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,806.40 : 131,709.60 = 83,432.40 : x
  2. Step 2: Convert to fraction form
    87,806.40/131,709.60 = 83,432.40/x
  3. Step 3: Cross multiply
    87,806.40x = 131,709.60 × 83,432.40
  4. Step 4: Simplify right side
    87,806.40x = 10,988,848,031.04
  5. Step 5: Solve for x
    x = 10,988,848,031.04/87,806.40
  6. Step 6: Final answer
    x = 125,148.60

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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.