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Finding the Fourth Proportional to 359,255.20, 538,882.80 and 122,519.20

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Solution

The fourth proportional to 359,255.20, 538,882.80 and 122,519.20 is: 183,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,255.20 : 538,882.80 = 122,519.20 : x
  2. Step 2: Convert to fraction form
    359,255.20/538,882.80 = 122,519.20/x
  3. Step 3: Cross multiply
    359,255.20x = 538,882.80 × 122,519.20
  4. Step 4: Simplify right side
    359,255.20x = 66,023,489,549.76
  5. Step 5: Solve for x
    x = 66,023,489,549.76/359,255.20
  6. Step 6: Final answer
    x = 183,778.80

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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.