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Finding the Fourth Proportional to 132,133.68, 182,332.44 and 78,409.44

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Solution

The fourth proportional to 132,133.68, 182,332.44 and 78,409.44 is: 108,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,133.68 : 182,332.44 = 78,409.44 : x
  2. Step 2: Convert to fraction form
    132,133.68/182,332.44 = 78,409.44/x
  3. Step 3: Cross multiply
    132,133.68x = 182,332.44 × 78,409.44
  4. Step 4: Simplify right side
    132,133.68x = 14,296,584,514.23
  5. Step 5: Solve for x
    x = 14,296,584,514.23/132,133.68
  6. Step 6: Final answer
    x = 108,197.88

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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.