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Finding the Fourth Proportional to 137,531.32, 206,263.56 and 57,526

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Solution

The fourth proportional to 137,531.32, 206,263.56 and 57,526 is: 86,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,531.32 : 206,263.56 = 57,526 : x
  2. Step 2: Convert to fraction form
    137,531.32/206,263.56 = 57,526/x
  3. Step 3: Cross multiply
    137,531.32x = 206,263.56 × 57,526
  4. Step 4: Simplify right side
    137,531.32x = 11,865,517,552.56
  5. Step 5: Solve for x
    x = 11,865,517,552.56/137,531.32
  6. Step 6: Final answer
    x = 86,275.02

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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.