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Finding the Fourth Proportional to 123,532.38, 170,384.67 and 78,217.74

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Solution

The fourth proportional to 123,532.38, 170,384.67 and 78,217.74 is: 107,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,532.38 : 170,384.67 = 78,217.74 : x
  2. Step 2: Convert to fraction form
    123,532.38/170,384.67 = 78,217.74/x
  3. Step 3: Cross multiply
    123,532.38x = 170,384.67 × 78,217.74
  4. Step 4: Simplify right side
    123,532.38x = 13,327,103,818.05
  5. Step 5: Solve for x
    x = 13,327,103,818.05/123,532.38
  6. Step 6: Final answer
    x = 107,883.49

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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.