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Finding the Fourth Proportional to 359,126.33, 538,694.82 and 106,432.45

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Solution

The fourth proportional to 359,126.33, 538,694.82 and 106,432.45 is: 159,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,126.33 : 538,694.82 = 106,432.45 : x
  2. Step 2: Convert to fraction form
    359,126.33/538,694.82 = 106,432.45/x
  3. Step 3: Cross multiply
    359,126.33x = 538,694.82 × 106,432.45
  4. Step 4: Simplify right side
    359,126.33x = 57,334,609,494.91
  5. Step 5: Solve for x
    x = 57,334,609,494.91/359,126.33
  6. Step 6: Final answer
    x = 159,650.25

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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.