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Finding the Fourth Proportional to 267,205.32, 368,747.51 and 146,344.41

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Solution

The fourth proportional to 267,205.32, 368,747.51 and 146,344.41 is: 201,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,205.32 : 368,747.51 = 146,344.41 : x
  2. Step 2: Convert to fraction form
    267,205.32/368,747.51 = 146,344.41/x
  3. Step 3: Cross multiply
    267,205.32x = 368,747.51 × 146,344.41
  4. Step 4: Simplify right side
    267,205.32x = 53,964,136,058.20
  5. Step 5: Solve for x
    x = 53,964,136,058.20/267,205.32
  6. Step 6: Final answer
    x = 201,957.57

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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.