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Finding the Fourth Proportional to 132,220.56, 182,446 and 77,775.19

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Solution

The fourth proportional to 132,220.56, 182,446 and 77,775.19 is: 107,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,220.56 : 182,446 = 77,775.19 : x
  2. Step 2: Convert to fraction form
    132,220.56/182,446 = 77,775.19/x
  3. Step 3: Cross multiply
    132,220.56x = 182,446 × 77,775.19
  4. Step 4: Simplify right side
    132,220.56x = 14,189,772,314.74
  5. Step 5: Solve for x
    x = 14,189,772,314.74/132,220.56
  6. Step 6: Final answer
    x = 107,318.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.