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Finding the Fourth Proportional to 172,194.32, 258,306.36 and 47,535.32

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Solution

The fourth proportional to 172,194.32, 258,306.36 and 47,535.32 is: 71,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,194.32 : 258,306.36 = 47,535.32 : x
  2. Step 2: Convert to fraction form
    172,194.32/258,306.36 = 47,535.32/x
  3. Step 3: Cross multiply
    172,194.32x = 258,306.36 × 47,535.32
  4. Step 4: Simplify right side
    172,194.32x = 12,278,675,480.64
  5. Step 5: Solve for x
    x = 12,278,675,480.64/172,194.32
  6. Step 6: Final answer
    x = 71,307.09

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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.