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Finding the Fourth Proportional to 137,956.24, 206,948.94 and 59,049.28

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Solution

The fourth proportional to 137,956.24, 206,948.94 and 59,049.28 is: 88,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,956.24 : 206,948.94 = 59,049.28 : x
  2. Step 2: Convert to fraction form
    137,956.24/206,948.94 = 59,049.28/x
  3. Step 3: Cross multiply
    137,956.24x = 206,948.94 × 59,049.28
  4. Step 4: Simplify right side
    137,956.24x = 12,220,185,903.76
  5. Step 5: Solve for x
    x = 12,220,185,903.76/137,956.24
  6. Step 6: Final answer
    x = 88,580.16

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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.