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Finding the Fourth Proportional to 132,321.78, 182,632.93 and 81,378.34

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Solution

The fourth proportional to 132,321.78, 182,632.93 and 81,378.34 is: 112,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,321.78 : 182,632.93 = 81,378.34 : x
  2. Step 2: Convert to fraction form
    132,321.78/182,632.93 = 81,378.34/x
  3. Step 3: Cross multiply
    132,321.78x = 182,632.93 × 81,378.34
  4. Step 4: Simplify right side
    132,321.78x = 14,862,364,012.71
  5. Step 5: Solve for x
    x = 14,862,364,012.71/132,321.78
  6. Step 6: Final answer
    x = 112,319.86

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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.