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Finding the Fourth Proportional to 137,758.44, 206,562.33 and 42,963.30

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Solution

The fourth proportional to 137,758.44, 206,562.33 and 42,963.30 is: 64,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,758.44 : 206,562.33 = 42,963.30 : x
  2. Step 2: Convert to fraction form
    137,758.44/206,562.33 = 42,963.30/x
  3. Step 3: Cross multiply
    137,758.44x = 206,562.33 × 42,963.30
  4. Step 4: Simplify right side
    137,758.44x = 8,874,599,352.49
  5. Step 5: Solve for x
    x = 8,874,599,352.49/137,758.44
  6. Step 6: Final answer
    x = 64,421.46

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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.