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Finding the Fourth Proportional to 137,821.71, 206,455.76 and 62,838.71

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Solution

The fourth proportional to 137,821.71, 206,455.76 and 62,838.71 is: 94,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,821.71 : 206,455.76 = 62,838.71 : x
  2. Step 2: Convert to fraction form
    137,821.71/206,455.76 = 62,838.71/x
  3. Step 3: Cross multiply
    137,821.71x = 206,455.76 × 62,838.71
  4. Step 4: Simplify right side
    137,821.71x = 12,973,413,630.47
  5. Step 5: Solve for x
    x = 12,973,413,630.47/137,821.71
  6. Step 6: Final answer
    x = 94,131.86

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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.