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Finding the Fourth Proportional to 132,854.52, 199,242.90 and 109,422.84

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Solution

The fourth proportional to 132,854.52, 199,242.90 and 109,422.84 is: 164,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,854.52 : 199,242.90 = 109,422.84 : x
  2. Step 2: Convert to fraction form
    132,854.52/199,242.90 = 109,422.84/x
  3. Step 3: Cross multiply
    132,854.52x = 199,242.90 × 109,422.84
  4. Step 4: Simplify right side
    132,854.52x = 21,801,723,967.84
  5. Step 5: Solve for x
    x = 21,801,723,967.84/132,854.52
  6. Step 6: Final answer
    x = 164,102.24

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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.