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Finding the Fourth Proportional to 172,248.44, 258,355.94 and 52,306.44

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Solution

The fourth proportional to 172,248.44, 258,355.94 and 52,306.44 is: 78,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,248.44 : 258,355.94 = 52,306.44 : x
  2. Step 2: Convert to fraction form
    172,248.44/258,355.94 = 52,306.44/x
  3. Step 3: Cross multiply
    172,248.44x = 258,355.94 × 52,306.44
  4. Step 4: Simplify right side
    172,248.44x = 13,513,679,474.25
  5. Step 5: Solve for x
    x = 13,513,679,474.25/172,248.44
  6. Step 6: Final answer
    x = 78,454.58

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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.