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Finding the Fourth Proportional to 218,950.20, 328,425.30 and 140,218.20

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Solution

The fourth proportional to 218,950.20, 328,425.30 and 140,218.20 is: 210,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,950.20 : 328,425.30 = 140,218.20 : x
  2. Step 2: Convert to fraction form
    218,950.20/328,425.30 = 140,218.20/x
  3. Step 3: Cross multiply
    218,950.20x = 328,425.30 × 140,218.20
  4. Step 4: Simplify right side
    218,950.20x = 46,051,204,400.46
  5. Step 5: Solve for x
    x = 46,051,204,400.46/218,950.20
  6. Step 6: Final answer
    x = 210,327.30

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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.