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Finding the Fourth Proportional to 137,597.76, 206,382.78 and 37,768.02

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Solution

The fourth proportional to 137,597.76, 206,382.78 and 37,768.02 is: 56,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,597.76 : 206,382.78 = 37,768.02 : x
  2. Step 2: Convert to fraction form
    137,597.76/206,382.78 = 37,768.02/x
  3. Step 3: Cross multiply
    137,597.76x = 206,382.78 × 37,768.02
  4. Step 4: Simplify right side
    137,597.76x = 7,794,668,962.70
  5. Step 5: Solve for x
    x = 7,794,668,962.70/137,597.76
  6. Step 6: Final answer
    x = 56,648.23

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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.