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Finding the Fourth Proportional to 106,374.11, 146,844.78 and 75,766.91

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Solution

The fourth proportional to 106,374.11, 146,844.78 and 75,766.91 is: 104,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,374.11 : 146,844.78 = 75,766.91 : x
  2. Step 2: Convert to fraction form
    106,374.11/146,844.78 = 75,766.91/x
  3. Step 3: Cross multiply
    106,374.11x = 146,844.78 × 75,766.91
  4. Step 4: Simplify right side
    106,374.11x = 11,125,975,230.23
  5. Step 5: Solve for x
    x = 11,125,975,230.23/106,374.11
  6. Step 6: Final answer
    x = 104,592.89

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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.