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Finding the Fourth Proportional to 106,008.12, 146,230.29 and 66,195

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Solution

The fourth proportional to 106,008.12, 146,230.29 and 66,195 is: 91,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,008.12 : 146,230.29 = 66,195 : x
  2. Step 2: Convert to fraction form
    106,008.12/146,230.29 = 66,195/x
  3. Step 3: Cross multiply
    106,008.12x = 146,230.29 × 66,195
  4. Step 4: Simplify right side
    106,008.12x = 9,679,714,046.55
  5. Step 5: Solve for x
    x = 9,679,714,046.55/106,008.12
  6. Step 6: Final answer
    x = 91,311.06

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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.