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Finding the Fourth Proportional to 242,882.40, 363,886.20 and 149,278.80

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Solution

The fourth proportional to 242,882.40, 363,886.20 and 149,278.80 is: 223,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,882.40 : 363,886.20 = 149,278.80 : x
  2. Step 2: Convert to fraction form
    242,882.40/363,886.20 = 149,278.80/x
  3. Step 3: Cross multiply
    242,882.40x = 363,886.20 × 149,278.80
  4. Step 4: Simplify right side
    242,882.40x = 54,320,495,272.56
  5. Step 5: Solve for x
    x = 54,320,495,272.56/242,882.40
  6. Step 6: Final answer
    x = 223,649.37

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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.