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Finding the Fourth Proportional to 252,419.76, 378,695.52 and 94,651.20

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Solution

The fourth proportional to 252,419.76, 378,695.52 and 94,651.20 is: 142,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,419.76 : 378,695.52 = 94,651.20 : x
  2. Step 2: Convert to fraction form
    252,419.76/378,695.52 = 94,651.20/x
  3. Step 3: Cross multiply
    252,419.76x = 378,695.52 × 94,651.20
  4. Step 4: Simplify right side
    252,419.76x = 35,843,985,402.62
  5. Step 5: Solve for x
    x = 35,843,985,402.62/252,419.76
  6. Step 6: Final answer
    x = 142,001.50

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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.