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Finding the Fourth Proportional to 267,846.18, 369,638.34 and 146,991.80

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Solution

The fourth proportional to 267,846.18, 369,638.34 and 146,991.80 is: 202,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,846.18 : 369,638.34 = 146,991.80 : x
  2. Step 2: Convert to fraction form
    267,846.18/369,638.34 = 146,991.80/x
  3. Step 3: Cross multiply
    267,846.18x = 369,638.34 × 146,991.80
  4. Step 4: Simplify right side
    267,846.18x = 54,333,804,759.17
  5. Step 5: Solve for x
    x = 54,333,804,759.17/267,846.18
  6. Step 6: Final answer
    x = 202,854.51

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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.