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Finding the Fourth Proportional to 214,761.52, 322,141.96 and 90,102.52

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Solution

The fourth proportional to 214,761.52, 322,141.96 and 90,102.52 is: 135,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,761.52 : 322,141.96 = 90,102.52 : x
  2. Step 2: Convert to fraction form
    214,761.52/322,141.96 = 90,102.52/x
  3. Step 3: Cross multiply
    214,761.52x = 322,141.96 × 90,102.52
  4. Step 4: Simplify right side
    214,761.52x = 29,025,802,393.74
  5. Step 5: Solve for x
    x = 29,025,802,393.74/214,761.52
  6. Step 6: Final answer
    x = 135,153.65

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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.