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Finding the Fourth Proportional to 100,821.96, 151,267.14 and 44,654.52

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Solution

The fourth proportional to 100,821.96, 151,267.14 and 44,654.52 is: 66,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,821.96 : 151,267.14 = 44,654.52 : x
  2. Step 2: Convert to fraction form
    100,821.96/151,267.14 = 44,654.52/x
  3. Step 3: Cross multiply
    100,821.96x = 151,267.14 × 44,654.52
  4. Step 4: Simplify right side
    100,821.96x = 6,754,761,528.47
  5. Step 5: Solve for x
    x = 6,754,761,528.47/100,821.96
  6. Step 6: Final answer
    x = 66,996.93

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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.