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Finding the Fourth Proportional to 132,786, 199,181.16 and 39,292.56

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Solution

The fourth proportional to 132,786, 199,181.16 and 39,292.56 is: 58,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,786 : 199,181.16 = 39,292.56 : x
  2. Step 2: Convert to fraction form
    132,786/199,181.16 = 39,292.56/x
  3. Step 3: Cross multiply
    132,786x = 199,181.16 × 39,292.56
  4. Step 4: Simplify right side
    132,786x = 7,826,337,680.17
  5. Step 5: Solve for x
    x = 7,826,337,680.17/132,786
  6. Step 6: Final answer
    x = 58,939.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.