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Finding the Fourth Proportional to 132,283.68, 182,546.30 and 78,567.32

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Solution

The fourth proportional to 132,283.68, 182,546.30 and 78,567.32 is: 108,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,283.68 : 182,546.30 = 78,567.32 : x
  2. Step 2: Convert to fraction form
    132,283.68/182,546.30 = 78,567.32/x
  3. Step 3: Cross multiply
    132,283.68x = 182,546.30 × 78,567.32
  4. Step 4: Simplify right side
    132,283.68x = 14,342,172,261.35
  5. Step 5: Solve for x
    x = 14,342,172,261.35/132,283.68
  6. Step 6: Final answer
    x = 108,419.82

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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.