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Finding the Fourth Proportional to 106,057.53, 146,359.41 and 58,314.09

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Solution

The fourth proportional to 106,057.53, 146,359.41 and 58,314.09 is: 80,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,057.53 : 146,359.41 = 58,314.09 : x
  2. Step 2: Convert to fraction form
    106,057.53/146,359.41 = 58,314.09/x
  3. Step 3: Cross multiply
    106,057.53x = 146,359.41 × 58,314.09
  4. Step 4: Simplify right side
    106,057.53x = 8,534,815,807.09
  5. Step 5: Solve for x
    x = 8,534,815,807.09/106,057.53
  6. Step 6: Final answer
    x = 80,473.45

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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.