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Finding the Fourth Proportional to 267,418.31, 369,040.10 and 146,556.95

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Solution

The fourth proportional to 267,418.31, 369,040.10 and 146,556.95 is: 202,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,418.31 : 369,040.10 = 146,556.95 : x
  2. Step 2: Convert to fraction form
    267,418.31/369,040.10 = 146,556.95/x
  3. Step 3: Cross multiply
    267,418.31x = 369,040.10 × 146,556.95
  4. Step 4: Simplify right side
    267,418.31x = 54,085,388,905.71
  5. Step 5: Solve for x
    x = 54,085,388,905.71/267,418.31
  6. Step 6: Final answer
    x = 202,250.14

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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.