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Finding the Fourth Proportional to 359,127.88, 538,697.39 and 106,433.80

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Solution

The fourth proportional to 359,127.88, 538,697.39 and 106,433.80 is: 159,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,127.88 : 538,697.39 = 106,433.80 : x
  2. Step 2: Convert to fraction form
    359,127.88/538,697.39 = 106,433.80/x
  3. Step 3: Cross multiply
    359,127.88x = 538,697.39 × 106,433.80
  4. Step 4: Simplify right side
    359,127.88x = 57,335,608,388.87
  5. Step 5: Solve for x
    x = 57,335,608,388.87/359,127.88
  6. Step 6: Final answer
    x = 159,652.35

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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.