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Finding the Fourth Proportional to 242,876.40, 363,731.40 and 196,220.40

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Solution

The fourth proportional to 242,876.40, 363,731.40 and 196,220.40 is: 293,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,876.40 : 363,731.40 = 196,220.40 : x
  2. Step 2: Convert to fraction form
    242,876.40/363,731.40 = 196,220.40/x
  3. Step 3: Cross multiply
    242,876.40x = 363,731.40 × 196,220.40
  4. Step 4: Simplify right side
    242,876.40x = 71,371,520,800.56
  5. Step 5: Solve for x
    x = 71,371,520,800.56/242,876.40
  6. Step 6: Final answer
    x = 293,859.43

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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.