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Finding the Fourth Proportional to 120,408.69, 166,275.69 and 90,141.48

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Solution

The fourth proportional to 120,408.69, 166,275.69 and 90,141.48 is: 124,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408.69 : 166,275.69 = 90,141.48 : x
  2. Step 2: Convert to fraction form
    120,408.69/166,275.69 = 90,141.48/x
  3. Step 3: Cross multiply
    120,408.69x = 166,275.69 × 90,141.48
  4. Step 4: Simplify right side
    120,408.69x = 14,988,336,784.62
  5. Step 5: Solve for x
    x = 14,988,336,784.62/120,408.69
  6. Step 6: Final answer
    x = 124,478.86

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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.