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Finding the Fourth Proportional to 359,031.26, 538,381.32 and 106,221.34

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Solution

The fourth proportional to 359,031.26, 538,381.32 and 106,221.34 is: 159,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,031.26 : 538,381.32 = 106,221.34 : x
  2. Step 2: Convert to fraction form
    359,031.26/538,381.32 = 106,221.34/x
  3. Step 3: Cross multiply
    359,031.26x = 538,381.32 × 106,221.34
  4. Step 4: Simplify right side
    359,031.26x = 57,187,585,241.37
  5. Step 5: Solve for x
    x = 57,187,585,241.37/359,031.26
  6. Step 6: Final answer
    x = 159,283.03

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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.