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Finding the Fourth Proportional to 252,335.52, 378,362.50 and 83,764.30

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Solution

The fourth proportional to 252,335.52, 378,362.50 and 83,764.30 is: 125,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,335.52 : 378,362.50 = 83,764.30 : x
  2. Step 2: Convert to fraction form
    252,335.52/378,362.50 = 83,764.30/x
  3. Step 3: Cross multiply
    252,335.52x = 378,362.50 × 83,764.30
  4. Step 4: Simplify right side
    252,335.52x = 31,693,269,958.75
  5. Step 5: Solve for x
    x = 31,693,269,958.75/252,335.52
  6. Step 6: Final answer
    x = 125,599.72

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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.