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Finding the Fourth Proportional to 252,597.92, 378,535.68 and 185,511.68

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Solution

The fourth proportional to 252,597.92, 378,535.68 and 185,511.68 is: 278,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,597.92 : 378,535.68 = 185,511.68 : x
  2. Step 2: Convert to fraction form
    252,597.92/378,535.68 = 185,511.68/x
  3. Step 3: Cross multiply
    252,597.92x = 378,535.68 × 185,511.68
  4. Step 4: Simplify right side
    252,597.92x = 70,222,789,936.74
  5. Step 5: Solve for x
    x = 70,222,789,936.74/252,597.92
  6. Step 6: Final answer
    x = 278,002.25

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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.