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Finding the Fourth Proportional to 267,059, 368,541.42 and 147,827

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Solution

The fourth proportional to 267,059, 368,541.42 and 147,827 is: 204,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,059 : 368,541.42 = 147,827 : x
  2. Step 2: Convert to fraction form
    267,059/368,541.42 = 147,827/x
  3. Step 3: Cross multiply
    267,059x = 368,541.42 × 147,827
  4. Step 4: Simplify right side
    267,059x = 54,480,372,494.34
  5. Step 5: Solve for x
    x = 54,480,372,494.34/267,059
  6. Step 6: Final answer
    x = 204,001.26

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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.