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Finding the Fourth Proportional to 265,351, 366,179.14 and 144,493.76

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Solution

The fourth proportional to 265,351, 366,179.14 and 144,493.76 is: 199,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,351 : 366,179.14 = 144,493.76 : x
  2. Step 2: Convert to fraction form
    265,351/366,179.14 = 144,493.76/x
  3. Step 3: Cross multiply
    265,351x = 366,179.14 × 144,493.76
  4. Step 4: Simplify right side
    265,351x = 52,910,600,772.17
  5. Step 5: Solve for x
    x = 52,910,600,772.17/265,351
  6. Step 6: Final answer
    x = 199,398.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.