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Finding the Fourth Proportional to 120,423.71, 165,675.38 and 117,102.21

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Solution

The fourth proportional to 120,423.71, 165,675.38 and 117,102.21 is: 161,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,423.71 : 165,675.38 = 117,102.21 : x
  2. Step 2: Convert to fraction form
    120,423.71/165,675.38 = 117,102.21/x
  3. Step 3: Cross multiply
    120,423.71x = 165,675.38 × 117,102.21
  4. Step 4: Simplify right side
    120,423.71x = 19,400,951,933.80
  5. Step 5: Solve for x
    x = 19,400,951,933.80/120,423.71
  6. Step 6: Final answer
    x = 161,105.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.