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Finding the Fourth Proportional to 137,893.56, 206,648.97 and 62,830.25

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Solution

The fourth proportional to 137,893.56, 206,648.97 and 62,830.25 is: 94,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,893.56 : 206,648.97 = 62,830.25 : x
  2. Step 2: Convert to fraction form
    137,893.56/206,648.97 = 62,830.25/x
  3. Step 3: Cross multiply
    137,893.56x = 206,648.97 × 62,830.25
  4. Step 4: Simplify right side
    137,893.56x = 12,983,805,414.10
  5. Step 5: Solve for x
    x = 12,983,805,414.10/137,893.56
  6. Step 6: Final answer
    x = 94,158.17

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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.