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Finding the Fourth Proportional to 359,029.25, 538,378.33 and 106,219.34

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Solution

The fourth proportional to 359,029.25, 538,378.33 and 106,219.34 is: 159,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,029.25 : 538,378.33 = 106,219.34 : x
  2. Step 2: Convert to fraction form
    359,029.25/538,378.33 = 106,219.34/x
  3. Step 3: Cross multiply
    359,029.25x = 538,378.33 × 106,219.34
  4. Step 4: Simplify right side
    359,029.25x = 57,186,190,882.90
  5. Step 5: Solve for x
    x = 57,186,190,882.90/359,029.25
  6. Step 6: Final answer
    x = 159,280.03

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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.