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Finding the Fourth Proportional to 102,355.62, 141,251.78 and 59,915.06

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Solution

The fourth proportional to 102,355.62, 141,251.78 and 59,915.06 is: 82,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,355.62 : 141,251.78 = 59,915.06 : x
  2. Step 2: Convert to fraction form
    102,355.62/141,251.78 = 59,915.06/x
  3. Step 3: Cross multiply
    102,355.62x = 141,251.78 × 59,915.06
  4. Step 4: Simplify right side
    102,355.62x = 8,463,108,873.81
  5. Step 5: Solve for x
    x = 8,463,108,873.81/102,355.62
  6. Step 6: Final answer
    x = 82,683.38

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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.