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Finding the Fourth Proportional to 252,180.76, 378,284.10 and 65,193.88

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Solution

The fourth proportional to 252,180.76, 378,284.10 and 65,193.88 is: 97,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,180.76 : 378,284.10 = 65,193.88 : x
  2. Step 2: Convert to fraction form
    252,180.76/378,284.10 = 65,193.88/x
  3. Step 3: Cross multiply
    252,180.76x = 378,284.10 × 65,193.88
  4. Step 4: Simplify right side
    252,180.76x = 24,661,808,221.31
  5. Step 5: Solve for x
    x = 24,661,808,221.31/252,180.76
  6. Step 6: Final answer
    x = 97,794.17

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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.