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Finding the Fourth Proportional to 139,534.80, 209,302.20 and 44,764.80

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Solution

The fourth proportional to 139,534.80, 209,302.20 and 44,764.80 is: 67,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,534.80 : 209,302.20 = 44,764.80 : x
  2. Step 2: Convert to fraction form
    139,534.80/209,302.20 = 44,764.80/x
  3. Step 3: Cross multiply
    139,534.80x = 209,302.20 × 44,764.80
  4. Step 4: Simplify right side
    139,534.80x = 9,369,371,122.56
  5. Step 5: Solve for x
    x = 9,369,371,122.56/139,534.80
  6. Step 6: Final answer
    x = 67,147.20

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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.