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Finding the Fourth Proportional to 119,149.31, 178,611.10 and 44,218.58

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Solution

The fourth proportional to 119,149.31, 178,611.10 and 44,218.58 is: 66,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,149.31 : 178,611.10 = 44,218.58 : x
  2. Step 2: Convert to fraction form
    119,149.31/178,611.10 = 44,218.58/x
  3. Step 3: Cross multiply
    119,149.31x = 178,611.10 × 44,218.58
  4. Step 4: Simplify right side
    119,149.31x = 7,897,928,210.64
  5. Step 5: Solve for x
    x = 7,897,928,210.64/119,149.31
  6. Step 6: Final answer
    x = 66,285.97

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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.