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Finding the Fourth Proportional to 359,077.96, 538,695.71 and 106,378.20

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Solution

The fourth proportional to 359,077.96, 538,695.71 and 106,378.20 is: 159,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,077.96 : 538,695.71 = 106,378.20 : x
  2. Step 2: Convert to fraction form
    359,077.96/538,695.71 = 106,378.20/x
  3. Step 3: Cross multiply
    359,077.96x = 538,695.71 × 106,378.20
  4. Step 4: Simplify right side
    359,077.96x = 57,305,479,685.39
  5. Step 5: Solve for x
    x = 57,305,479,685.39/359,077.96
  6. Step 6: Final answer
    x = 159,590.63

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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.