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Finding the Fourth Proportional to 252,399.84, 378,591.48 and 102,595.92

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Solution

The fourth proportional to 252,399.84, 378,591.48 and 102,595.92 is: 153,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,399.84 : 378,591.48 = 102,595.92 : x
  2. Step 2: Convert to fraction form
    252,399.84/378,591.48 = 102,595.92/x
  3. Step 3: Cross multiply
    252,399.84x = 378,591.48 × 102,595.92
  4. Step 4: Simplify right side
    252,399.84x = 38,841,941,194.76
  5. Step 5: Solve for x
    x = 38,841,941,194.76/252,399.84
  6. Step 6: Final answer
    x = 153,890.51

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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.