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Finding the Fourth Proportional to 120,415.33, 166,174.49 and 66,701.17

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Solution

The fourth proportional to 120,415.33, 166,174.49 and 66,701.17 is: 92,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,415.33 : 166,174.49 = 66,701.17 : x
  2. Step 2: Convert to fraction form
    120,415.33/166,174.49 = 66,701.17/x
  3. Step 3: Cross multiply
    120,415.33x = 166,174.49 × 66,701.17
  4. Step 4: Simplify right side
    120,415.33x = 11,084,032,573.65
  5. Step 5: Solve for x
    x = 11,084,032,573.65/120,415.33
  6. Step 6: Final answer
    x = 92,048.35

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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.