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Finding the Fourth Proportional to 137,751.30, 206,578.35 and 49,007.70

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Solution

The fourth proportional to 137,751.30, 206,578.35 and 49,007.70 is: 73,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,751.30 : 206,578.35 = 49,007.70 : x
  2. Step 2: Convert to fraction form
    137,751.30/206,578.35 = 49,007.70/x
  3. Step 3: Cross multiply
    137,751.30x = 206,578.35 × 49,007.70
  4. Step 4: Simplify right side
    137,751.30x = 10,123,929,803.30
  5. Step 5: Solve for x
    x = 10,123,929,803.30/137,751.30
  6. Step 6: Final answer
    x = 73,494.26

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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.