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Finding the Fourth Proportional to 359,028.25, 538,376.83 and 106,218.34

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Solution

The fourth proportional to 359,028.25, 538,376.83 and 106,218.34 is: 159,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,028.25 : 538,376.83 = 106,218.34 : x
  2. Step 2: Convert to fraction form
    359,028.25/538,376.83 = 106,218.34/x
  3. Step 3: Cross multiply
    359,028.25x = 538,376.83 × 106,218.34
  4. Step 4: Simplify right side
    359,028.25x = 57,185,491,565.57
  5. Step 5: Solve for x
    x = 57,185,491,565.57/359,028.25
  6. Step 6: Final answer
    x = 159,278.53

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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.