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Finding the Fourth Proportional to 172,159.34, 258,253.88 and 47,500.34

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Solution

The fourth proportional to 172,159.34, 258,253.88 and 47,500.34 is: 71,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,159.34 : 258,253.88 = 47,500.34 : x
  2. Step 2: Convert to fraction form
    172,159.34/258,253.88 = 47,500.34/x
  3. Step 3: Cross multiply
    172,159.34x = 258,253.88 × 47,500.34
  4. Step 4: Simplify right side
    172,159.34x = 12,267,145,577.55
  5. Step 5: Solve for x
    x = 12,267,145,577.55/172,159.34
  6. Step 6: Final answer
    x = 71,254.61

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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.