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Finding the Fourth Proportional to 177,920.64, 266,869.44 and 67,109.76

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Solution

The fourth proportional to 177,920.64, 266,869.44 and 67,109.76 is: 100,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,920.64 : 266,869.44 = 67,109.76 : x
  2. Step 2: Convert to fraction form
    177,920.64/266,869.44 = 67,109.76/x
  3. Step 3: Cross multiply
    177,920.64x = 266,869.44 × 67,109.76
  4. Step 4: Simplify right side
    177,920.64x = 17,909,544,069.73
  5. Step 5: Solve for x
    x = 17,909,544,069.73/177,920.64
  6. Step 6: Final answer
    x = 100,660.29

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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.