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Finding the Fourth Proportional to 243,020.20, 364,530.30 and 214,151.80

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Solution

The fourth proportional to 243,020.20, 364,530.30 and 214,151.80 is: 321,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,020.20 : 364,530.30 = 214,151.80 : x
  2. Step 2: Convert to fraction form
    243,020.20/364,530.30 = 214,151.80/x
  3. Step 3: Cross multiply
    243,020.20x = 364,530.30 × 214,151.80
  4. Step 4: Simplify right side
    243,020.20x = 78,064,819,899.54
  5. Step 5: Solve for x
    x = 78,064,819,899.54/243,020.20
  6. Step 6: Final answer
    x = 321,227.70

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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.