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Finding the Fourth Proportional to 267,846.78, 369,631.35 and 146,995.90

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Solution

The fourth proportional to 267,846.78, 369,631.35 and 146,995.90 is: 202,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,846.78 : 369,631.35 = 146,995.90 : x
  2. Step 2: Convert to fraction form
    267,846.78/369,631.35 = 146,995.90/x
  3. Step 3: Cross multiply
    267,846.78x = 369,631.35 × 146,995.90
  4. Step 4: Simplify right side
    267,846.78x = 54,334,292,037.39
  5. Step 5: Solve for x
    x = 54,334,292,037.39/267,846.78
  6. Step 6: Final answer
    x = 202,855.87

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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.