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Finding the Fourth Proportional to 252,167.72, 347,512.88 and 180,422.78

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Solution

The fourth proportional to 252,167.72, 347,512.88 and 180,422.78 is: 248,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,167.72 : 347,512.88 = 180,422.78 : x
  2. Step 2: Convert to fraction form
    252,167.72/347,512.88 = 180,422.78/x
  3. Step 3: Cross multiply
    252,167.72x = 347,512.88 × 180,422.78
  4. Step 4: Simplify right side
    252,167.72x = 62,699,238,608.90
  5. Step 5: Solve for x
    x = 62,699,238,608.90/252,167.72
  6. Step 6: Final answer
    x = 248,641.02

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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.