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Finding the Fourth Proportional to 132,651.14, 183,078.22 and 78,213.29

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Solution

The fourth proportional to 132,651.14, 183,078.22 and 78,213.29 is: 107,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,651.14 : 183,078.22 = 78,213.29 : x
  2. Step 2: Convert to fraction form
    132,651.14/183,078.22 = 78,213.29/x
  3. Step 3: Cross multiply
    132,651.14x = 183,078.22 × 78,213.29
  4. Step 4: Simplify right side
    132,651.14x = 14,319,149,980.17
  5. Step 5: Solve for x
    x = 14,319,149,980.17/132,651.14
  6. Step 6: Final answer
    x = 107,945.92

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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.