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Finding the Fourth Proportional to 132,160.29, 182,298.25 and 78,407.25

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Solution

The fourth proportional to 132,160.29, 182,298.25 and 78,407.25 is: 108,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,160.29 : 182,298.25 = 78,407.25 : x
  2. Step 2: Convert to fraction form
    132,160.29/182,298.25 = 78,407.25/x
  3. Step 3: Cross multiply
    132,160.29x = 182,298.25 × 78,407.25
  4. Step 4: Simplify right side
    132,160.29x = 14,293,504,462.31
  5. Step 5: Solve for x
    x = 14,293,504,462.31/132,160.29
  6. Step 6: Final answer
    x = 108,152.79

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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.