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Finding the Fourth Proportional to 258,872.88, 357,354.80 and 174,039.16

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Solution

The fourth proportional to 258,872.88, 357,354.80 and 174,039.16 is: 240,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,872.88 : 357,354.80 = 174,039.16 : x
  2. Step 2: Convert to fraction form
    258,872.88/357,354.80 = 174,039.16/x
  3. Step 3: Cross multiply
    258,872.88x = 357,354.80 × 174,039.16
  4. Step 4: Simplify right side
    258,872.88x = 62,193,729,213.97
  5. Step 5: Solve for x
    x = 62,193,729,213.97/258,872.88
  6. Step 6: Final answer
    x = 240,248.15

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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.