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Finding the Fourth Proportional to 120,452.40, 166,364.28 and 113,454

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Solution

The fourth proportional to 120,452.40, 166,364.28 and 113,454 is: 156,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,452.40 : 166,364.28 = 113,454 : x
  2. Step 2: Convert to fraction form
    120,452.40/166,364.28 = 113,454/x
  3. Step 3: Cross multiply
    120,452.40x = 166,364.28 × 113,454
  4. Step 4: Simplify right side
    120,452.40x = 18,874,693,023.12
  5. Step 5: Solve for x
    x = 18,874,693,023.12/120,452.40
  6. Step 6: Final answer
    x = 156,698.36

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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.