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Finding the Fourth Proportional to 102,475.53, 141,392.14 and 62,188.38

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Solution

The fourth proportional to 102,475.53, 141,392.14 and 62,188.38 is: 85,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,475.53 : 141,392.14 = 62,188.38 : x
  2. Step 2: Convert to fraction form
    102,475.53/141,392.14 = 62,188.38/x
  3. Step 3: Cross multiply
    102,475.53x = 141,392.14 × 62,188.38
  4. Step 4: Simplify right side
    102,475.53x = 8,792,948,131.33
  5. Step 5: Solve for x
    x = 8,792,948,131.33/102,475.53
  6. Step 6: Final answer
    x = 85,805.34

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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.