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Finding the Fourth Proportional to 267,221.32, 368,761.26 and 146,361.76

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Solution

The fourth proportional to 267,221.32, 368,761.26 and 146,361.76 is: 201,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,221.32 : 368,761.26 = 146,361.76 : x
  2. Step 2: Convert to fraction form
    267,221.32/368,761.26 = 146,361.76/x
  3. Step 3: Cross multiply
    267,221.32x = 368,761.26 × 146,361.76
  4. Step 4: Simplify right side
    267,221.32x = 53,972,547,033.42
  5. Step 5: Solve for x
    x = 53,972,547,033.42/267,221.32
  6. Step 6: Final answer
    x = 201,976.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.