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Finding the Fourth Proportional to 263,038.56, 362,992.50 and 149,862.12

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Solution

The fourth proportional to 263,038.56, 362,992.50 and 149,862.12 is: 206,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,038.56 : 362,992.50 = 149,862.12 : x
  2. Step 2: Convert to fraction form
    263,038.56/362,992.50 = 149,862.12/x
  3. Step 3: Cross multiply
    263,038.56x = 362,992.50 × 149,862.12
  4. Step 4: Simplify right side
    263,038.56x = 54,398,825,594.10
  5. Step 5: Solve for x
    x = 54,398,825,594.10/263,038.56
  6. Step 6: Final answer
    x = 206,809.32

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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.