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Finding the Fourth Proportional to 120,230.40, 165,917.12 and 71,854.40

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Solution

The fourth proportional to 120,230.40, 165,917.12 and 71,854.40 is: 99,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,230.40 : 165,917.12 = 71,854.40 : x
  2. Step 2: Convert to fraction form
    120,230.40/165,917.12 = 71,854.40/x
  3. Step 3: Cross multiply
    120,230.40x = 165,917.12 × 71,854.40
  4. Step 4: Simplify right side
    120,230.40x = 11,921,875,107.33
  5. Step 5: Solve for x
    x = 11,921,875,107.33/120,230.40
  6. Step 6: Final answer
    x = 99,158.57

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1.5x scale

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.