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Finding the Fourth Proportional to 262,711.28, 362,541.96 and 149,534

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Solution

The fourth proportional to 262,711.28, 362,541.96 and 149,534 is: 206,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,711.28 : 362,541.96 = 149,534 : x
  2. Step 2: Convert to fraction form
    262,711.28/362,541.96 = 149,534/x
  3. Step 3: Cross multiply
    262,711.28x = 362,541.96 × 149,534
  4. Step 4: Simplify right side
    262,711.28x = 54,212,349,446.64
  5. Step 5: Solve for x
    x = 54,212,349,446.64/262,711.28
  6. Step 6: Final answer
    x = 206,357.14

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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.