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Finding the Fourth Proportional to 359,129.89, 538,619.20 and 106,412.52

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Solution

The fourth proportional to 359,129.89, 538,619.20 and 106,412.52 is: 159,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,129.89 : 538,619.20 = 106,412.52 : x
  2. Step 2: Convert to fraction form
    359,129.89/538,619.20 = 106,412.52/x
  3. Step 3: Cross multiply
    359,129.89x = 538,619.20 × 106,412.52
  4. Step 4: Simplify right side
    359,129.89x = 57,315,826,392.38
  5. Step 5: Solve for x
    x = 57,315,826,392.38/359,129.89
  6. Step 6: Final answer
    x = 159,596.37

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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.