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Finding the Fourth Proportional to 140,279.68, 210,419.97 and 35,098.65

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Solution

The fourth proportional to 140,279.68, 210,419.97 and 35,098.65 is: 52,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,279.68 : 210,419.97 = 35,098.65 : x
  2. Step 2: Convert to fraction form
    140,279.68/210,419.97 = 35,098.65/x
  3. Step 3: Cross multiply
    140,279.68x = 210,419.97 × 35,098.65
  4. Step 4: Simplify right side
    140,279.68x = 7,385,456,880.04
  5. Step 5: Solve for x
    x = 7,385,456,880.04/140,279.68
  6. Step 6: Final answer
    x = 52,648.09

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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.