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Finding the Fourth Proportional to 242,371.64, 363,236.70 and 185,996.32

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Solution

The fourth proportional to 242,371.64, 363,236.70 and 185,996.32 is: 278,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,371.64 : 363,236.70 = 185,996.32 : x
  2. Step 2: Convert to fraction form
    242,371.64/363,236.70 = 185,996.32/x
  3. Step 3: Cross multiply
    242,371.64x = 363,236.70 × 185,996.32
  4. Step 4: Simplify right side
    242,371.64x = 67,560,689,278.34
  5. Step 5: Solve for x
    x = 67,560,689,278.34/242,371.64
  6. Step 6: Final answer
    x = 278,748.32

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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.