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Finding the Fourth Proportional to 140,705.92, 211,069.84 and 40,867.72

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Solution

The fourth proportional to 140,705.92, 211,069.84 and 40,867.72 is: 61,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,705.92 : 211,069.84 = 40,867.72 : x
  2. Step 2: Convert to fraction form
    140,705.92/211,069.84 = 40,867.72/x
  3. Step 3: Cross multiply
    140,705.92x = 211,069.84 × 40,867.72
  4. Step 4: Simplify right side
    140,705.92x = 8,625,943,121.56
  5. Step 5: Solve for x
    x = 8,625,943,121.56/140,705.92
  6. Step 6: Final answer
    x = 61,304.76

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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.