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Finding the Fourth Proportional to 106,057.26, 146,355.25 and 58,310.24

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Solution

The fourth proportional to 106,057.26, 146,355.25 and 58,310.24 is: 80,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,057.26 : 146,355.25 = 58,310.24 : x
  2. Step 2: Convert to fraction form
    106,057.26/146,355.25 = 58,310.24/x
  3. Step 3: Cross multiply
    106,057.26x = 146,355.25 × 58,310.24
  4. Step 4: Simplify right side
    106,057.26x = 8,534,009,752.76
  5. Step 5: Solve for x
    x = 8,534,009,752.76/106,057.26
  6. Step 6: Final answer
    x = 80,466.06

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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.