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Finding the Fourth Proportional to 259,248.75, 357,763.41 and 140,016.75

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Solution

The fourth proportional to 259,248.75, 357,763.41 and 140,016.75 is: 193,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,248.75 : 357,763.41 = 140,016.75 : x
  2. Step 2: Convert to fraction form
    259,248.75/357,763.41 = 140,016.75/x
  3. Step 3: Cross multiply
    259,248.75x = 357,763.41 × 140,016.75
  4. Step 4: Simplify right side
    259,248.75x = 50,092,869,937.12
  5. Step 5: Solve for x
    x = 50,092,869,937.12/259,248.75
  6. Step 6: Final answer
    x = 193,223.19

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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.