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Finding the Fourth Proportional to 119,863.18, 165,473.38 and 87,561.53

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Solution

The fourth proportional to 119,863.18, 165,473.38 and 87,561.53 is: 120,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,863.18 : 165,473.38 = 87,561.53 : x
  2. Step 2: Convert to fraction form
    119,863.18/165,473.38 = 87,561.53/x
  3. Step 3: Cross multiply
    119,863.18x = 165,473.38 × 87,561.53
  4. Step 4: Simplify right side
    119,863.18x = 14,489,101,280.80
  5. Step 5: Solve for x
    x = 14,489,101,280.80/119,863.18
  6. Step 6: Final answer
    x = 120,880.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.