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Finding the Fourth Proportional to 132,851.52, 199,238.40 and 109,419.84

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Solution

The fourth proportional to 132,851.52, 199,238.40 and 109,419.84 is: 164,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,851.52 : 199,238.40 = 109,419.84 : x
  2. Step 2: Convert to fraction form
    132,851.52/199,238.40 = 109,419.84/x
  3. Step 3: Cross multiply
    132,851.52x = 199,238.40 × 109,419.84
  4. Step 4: Simplify right side
    132,851.52x = 21,800,633,849.86
  5. Step 5: Solve for x
    x = 21,800,633,849.86/132,851.52
  6. Step 6: Final answer
    x = 164,097.74

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Why These Related Problems?

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