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Finding the Fourth Proportional to 106,420.67, 146,886.12 and 63,971

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Solution

The fourth proportional to 106,420.67, 146,886.12 and 63,971 is: 88,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,420.67 : 146,886.12 = 63,971 : x
  2. Step 2: Convert to fraction form
    106,420.67/146,886.12 = 63,971/x
  3. Step 3: Cross multiply
    106,420.67x = 146,886.12 × 63,971
  4. Step 4: Simplify right side
    106,420.67x = 9,396,451,662.67
  5. Step 5: Solve for x
    x = 9,396,451,662.67/106,420.67
  6. Step 6: Final answer
    x = 88,295.36

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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.