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Finding the Fourth Proportional to 119,884.92, 165,507.48 and 72,150

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Solution

The fourth proportional to 119,884.92, 165,507.48 and 72,150 is: 99,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,884.92 : 165,507.48 = 72,150 : x
  2. Step 2: Convert to fraction form
    119,884.92/165,507.48 = 72,150/x
  3. Step 3: Cross multiply
    119,884.92x = 165,507.48 × 72,150
  4. Step 4: Simplify right side
    119,884.92x = 11,941,364,682
  5. Step 5: Solve for x
    x = 11,941,364,682/119,884.92
  6. Step 6: Final answer
    x = 99,606.90

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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.