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Finding the Fourth Proportional to 100,823.71, 151,269.77 and 44,656.27

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Solution

The fourth proportional to 100,823.71, 151,269.77 and 44,656.27 is: 66,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,823.71 : 151,269.77 = 44,656.27 : x
  2. Step 2: Convert to fraction form
    100,823.71/151,269.77 = 44,656.27/x
  3. Step 3: Cross multiply
    100,823.71x = 151,269.77 × 44,656.27
  4. Step 4: Simplify right side
    100,823.71x = 6,755,143,691.96
  5. Step 5: Solve for x
    x = 6,755,143,691.96/100,823.71
  6. Step 6: Final answer
    x = 66,999.55

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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.