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Finding the Fourth Proportional to 137,224.64, 205,836.96 and 38,728.64

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Solution

The fourth proportional to 137,224.64, 205,836.96 and 38,728.64 is: 58,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,224.64 : 205,836.96 = 38,728.64 : x
  2. Step 2: Convert to fraction form
    137,224.64/205,836.96 = 38,728.64/x
  3. Step 3: Cross multiply
    137,224.64x = 205,836.96 × 38,728.64
  4. Step 4: Simplify right side
    137,224.64x = 7,971,785,522.53
  5. Step 5: Solve for x
    x = 7,971,785,522.53/137,224.64
  6. Step 6: Final answer
    x = 58,092.96

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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.