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Finding the Fourth Proportional to 137,131.44, 205,713.78 and 48,366.78

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Solution

The fourth proportional to 137,131.44, 205,713.78 and 48,366.78 is: 72,556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,131.44 : 205,713.78 = 48,366.78 : x
  2. Step 2: Convert to fraction form
    137,131.44/205,713.78 = 48,366.78/x
  3. Step 3: Cross multiply
    137,131.44x = 205,713.78 × 48,366.78
  4. Step 4: Simplify right side
    137,131.44x = 9,949,713,140.23
  5. Step 5: Solve for x
    x = 9,949,713,140.23/137,131.44
  6. Step 6: Final answer
    x = 72,556.03

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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.