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Finding the Fourth Proportional to 262,358.28, 362,052.66 and 149,181

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Solution

The fourth proportional to 262,358.28, 362,052.66 and 149,181 is: 205,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,358.28 : 362,052.66 = 149,181 : x
  2. Step 2: Convert to fraction form
    262,358.28/362,052.66 = 149,181/x
  3. Step 3: Cross multiply
    262,358.28x = 362,052.66 × 149,181
  4. Step 4: Simplify right side
    262,358.28x = 54,011,377,871.46
  5. Step 5: Solve for x
    x = 54,011,377,871.46/262,358.28
  6. Step 6: Final answer
    x = 205,868.78

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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.