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Finding the Fourth Proportional to 252,970.29, 378,575.17 and 156,862.58

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Solution

The fourth proportional to 252,970.29, 378,575.17 and 156,862.58 is: 234,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,970.29 : 378,575.17 = 156,862.58 : x
  2. Step 2: Convert to fraction form
    252,970.29/378,575.17 = 156,862.58/x
  3. Step 3: Cross multiply
    252,970.29x = 378,575.17 × 156,862.58
  4. Step 4: Simplify right side
    252,970.29x = 59,384,275,605.11
  5. Step 5: Solve for x
    x = 59,384,275,605.11/252,970.29
  6. Step 6: Final answer
    x = 234,748.02

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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.