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Finding the Fourth Proportional to 137,959.29, 206,895.20 and 59,052.33

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Solution

The fourth proportional to 137,959.29, 206,895.20 and 59,052.33 is: 88,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,959.29 : 206,895.20 = 59,052.33 : x
  2. Step 2: Convert to fraction form
    137,959.29/206,895.20 = 59,052.33/x
  3. Step 3: Cross multiply
    137,959.29x = 206,895.20 × 59,052.33
  4. Step 4: Simplify right side
    137,959.29x = 12,217,643,330.55
  5. Step 5: Solve for x
    x = 12,217,643,330.55/137,959.29
  6. Step 6: Final answer
    x = 88,559.77

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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.