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Finding the Fourth Proportional to 205,171.50, 283,266.68 and 140,748.69

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Solution

The fourth proportional to 205,171.50, 283,266.68 and 140,748.69 is: 194,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,171.50 : 283,266.68 = 140,748.69 : x
  2. Step 2: Convert to fraction form
    205,171.50/283,266.68 = 140,748.69/x
  3. Step 3: Cross multiply
    205,171.50x = 283,266.68 × 140,748.69
  4. Step 4: Simplify right side
    205,171.50x = 39,869,414,130.65
  5. Step 5: Solve for x
    x = 39,869,414,130.65/205,171.50
  6. Step 6: Final answer
    x = 194,322.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.