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Finding the Fourth Proportional to 137,081.72, 205,639.50 and 66,908

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Solution

The fourth proportional to 137,081.72, 205,639.50 and 66,908 is: 100,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,081.72 : 205,639.50 = 66,908 : x
  2. Step 2: Convert to fraction form
    137,081.72/205,639.50 = 66,908/x
  3. Step 3: Cross multiply
    137,081.72x = 205,639.50 × 66,908
  4. Step 4: Simplify right side
    137,081.72x = 13,758,927,666
  5. Step 5: Solve for x
    x = 13,758,927,666/137,081.72
  6. Step 6: Final answer
    x = 100,370.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.