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Finding the Fourth Proportional to 132,035.34, 182,203.85 and 78,288.20

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Solution

The fourth proportional to 132,035.34, 182,203.85 and 78,288.20 is: 108,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,035.34 : 182,203.85 = 78,288.20 : x
  2. Step 2: Convert to fraction form
    132,035.34/182,203.85 = 78,288.20/x
  3. Step 3: Cross multiply
    132,035.34x = 182,203.85 × 78,288.20
  4. Step 4: Simplify right side
    132,035.34x = 14,264,410,734.27
  5. Step 5: Solve for x
    x = 14,264,410,734.27/132,035.34
  6. Step 6: Final answer
    x = 108,034.79

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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.