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Finding the Fourth Proportional to 133,064.83, 199,629.14 and 44,319.10

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Solution

The fourth proportional to 133,064.83, 199,629.14 and 44,319.10 is: 66,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,064.83 : 199,629.14 = 44,319.10 : x
  2. Step 2: Convert to fraction form
    133,064.83/199,629.14 = 44,319.10/x
  3. Step 3: Cross multiply
    133,064.83x = 199,629.14 × 44,319.10
  4. Step 4: Simplify right side
    133,064.83x = 8,847,383,818.57
  5. Step 5: Solve for x
    x = 8,847,383,818.57/133,064.83
  6. Step 6: Final answer
    x = 66,489.27

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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.