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Finding the Fourth Proportional to 120,412.53, 166,178.70 and 66,702.69

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Solution

The fourth proportional to 120,412.53, 166,178.70 and 66,702.69 is: 92,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412.53 : 166,178.70 = 66,702.69 : x
  2. Step 2: Convert to fraction form
    120,412.53/166,178.70 = 66,702.69/x
  3. Step 3: Cross multiply
    120,412.53x = 166,178.70 × 66,702.69
  4. Step 4: Simplify right side
    120,412.53x = 11,084,566,310.70
  5. Step 5: Solve for x
    x = 11,084,566,310.70/120,412.53
  6. Step 6: Final answer
    x = 92,054.92

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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.