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Finding the Fourth Proportional to 132,154.96, 182,379.40 and 75,566.32

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Solution

The fourth proportional to 132,154.96, 182,379.40 and 75,566.32 is: 104,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,154.96 : 182,379.40 = 75,566.32 : x
  2. Step 2: Convert to fraction form
    132,154.96/182,379.40 = 75,566.32/x
  3. Step 3: Cross multiply
    132,154.96x = 182,379.40 × 75,566.32
  4. Step 4: Simplify right side
    132,154.96x = 13,781,740,101.81
  5. Step 5: Solve for x
    x = 13,781,740,101.81/132,154.96
  6. Step 6: Final answer
    x = 104,284.70

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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.