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Finding the Fourth Proportional to 137,162.76, 205,753.25 and 52,923.97

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Solution

The fourth proportional to 137,162.76, 205,753.25 and 52,923.97 is: 79,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,162.76 : 205,753.25 = 52,923.97 : x
  2. Step 2: Convert to fraction form
    137,162.76/205,753.25 = 52,923.97/x
  3. Step 3: Cross multiply
    137,162.76x = 205,753.25 × 52,923.97
  4. Step 4: Simplify right side
    137,162.76x = 10,889,278,830.40
  5. Step 5: Solve for x
    x = 10,889,278,830.40/137,162.76
  6. Step 6: Final answer
    x = 79,389.47

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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.