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Finding the Fourth Proportional to 172,513.20, 258,769.80 and 47,854.20

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Solution

The fourth proportional to 172,513.20, 258,769.80 and 47,854.20 is: 71,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,513.20 : 258,769.80 = 47,854.20 : x
  2. Step 2: Convert to fraction form
    172,513.20/258,769.80 = 47,854.20/x
  3. Step 3: Cross multiply
    172,513.20x = 258,769.80 × 47,854.20
  4. Step 4: Simplify right side
    172,513.20x = 12,383,221,763.16
  5. Step 5: Solve for x
    x = 12,383,221,763.16/172,513.20
  6. Step 6: Final answer
    x = 71,781.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.