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Finding the Fourth Proportional to 140,490.40, 193,876.68 and 76,828.20

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Solution

The fourth proportional to 140,490.40, 193,876.68 and 76,828.20 is: 106,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,490.40 : 193,876.68 = 76,828.20 : x
  2. Step 2: Convert to fraction form
    140,490.40/193,876.68 = 76,828.20/x
  3. Step 3: Cross multiply
    140,490.40x = 193,876.68 × 76,828.20
  4. Step 4: Simplify right side
    140,490.40x = 14,895,196,346.38
  5. Step 5: Solve for x
    x = 14,895,196,346.38/140,490.40
  6. Step 6: Final answer
    x = 106,022.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.