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Finding the Fourth Proportional to 144,687.52, 217,029 and 39,506.16

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Solution

The fourth proportional to 144,687.52, 217,029 and 39,506.16 is: 59,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,687.52 : 217,029 = 39,506.16 : x
  2. Step 2: Convert to fraction form
    144,687.52/217,029 = 39,506.16/x
  3. Step 3: Cross multiply
    144,687.52x = 217,029 × 39,506.16
  4. Step 4: Simplify right side
    144,687.52x = 8,573,982,398.64
  5. Step 5: Solve for x
    x = 8,573,982,398.64/144,687.52
  6. Step 6: Final answer
    x = 59,258.62

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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.