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Finding the Fourth Proportional to 137,820.74, 206,599.86 and 44,260.88

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Solution

The fourth proportional to 137,820.74, 206,599.86 and 44,260.88 is: 66,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,820.74 : 206,599.86 = 44,260.88 : x
  2. Step 2: Convert to fraction form
    137,820.74/206,599.86 = 44,260.88/x
  3. Step 3: Cross multiply
    137,820.74x = 206,599.86 × 44,260.88
  4. Step 4: Simplify right side
    137,820.74x = 9,144,290,578.48
  5. Step 5: Solve for x
    x = 9,144,290,578.48/137,820.74
  6. Step 6: Final answer
    x = 66,349.16

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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.