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Finding the Fourth Proportional to 259,540.56, 358,098.18 and 152,052.78

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Solution

The fourth proportional to 259,540.56, 358,098.18 and 152,052.78 is: 209,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,540.56 : 358,098.18 = 152,052.78 : x
  2. Step 2: Convert to fraction form
    259,540.56/358,098.18 = 152,052.78/x
  3. Step 3: Cross multiply
    259,540.56x = 358,098.18 × 152,052.78
  4. Step 4: Simplify right side
    259,540.56x = 54,449,823,781.94
  5. Step 5: Solve for x
    x = 54,449,823,781.94/259,540.56
  6. Step 6: Final answer
    x = 209,793.12

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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.