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Finding the Fourth Proportional to 120,442.53, 166,139.33 and 72,667.65

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Solution

The fourth proportional to 120,442.53, 166,139.33 and 72,667.65 is: 100,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,442.53 : 166,139.33 = 72,667.65 : x
  2. Step 2: Convert to fraction form
    120,442.53/166,139.33 = 72,667.65/x
  3. Step 3: Cross multiply
    120,442.53x = 166,139.33 × 72,667.65
  4. Step 4: Simplify right side
    120,442.53x = 12,072,954,320.34
  5. Step 5: Solve for x
    x = 12,072,954,320.34/120,442.53
  6. Step 6: Final answer
    x = 100,238.30

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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.