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Finding the Fourth Proportional to 267,338.31, 368,931.41 and 146,491.38

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Solution

The fourth proportional to 267,338.31, 368,931.41 and 146,491.38 is: 202,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,338.31 : 368,931.41 = 146,491.38 : x
  2. Step 2: Convert to fraction form
    267,338.31/368,931.41 = 146,491.38/x
  3. Step 3: Cross multiply
    267,338.31x = 368,931.41 × 146,491.38
  4. Step 4: Simplify right side
    267,338.31x = 54,045,271,376.25
  5. Step 5: Solve for x
    x = 54,045,271,376.25/267,338.31
  6. Step 6: Final answer
    x = 202,160.59

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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.