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Finding the Fourth Proportional to 111,246.30, 166,869.45 and 81,503.10

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Solution

The fourth proportional to 111,246.30, 166,869.45 and 81,503.10 is: 122,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,246.30 : 166,869.45 = 81,503.10 : x
  2. Step 2: Convert to fraction form
    111,246.30/166,869.45 = 81,503.10/x
  3. Step 3: Cross multiply
    111,246.30x = 166,869.45 × 81,503.10
  4. Step 4: Simplify right side
    111,246.30x = 13,600,377,470.30
  5. Step 5: Solve for x
    x = 13,600,377,470.30/111,246.30
  6. Step 6: Final answer
    x = 122,254.65

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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.