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Finding the Fourth Proportional to 106,564.93, 147,057.36 and 58,165.26

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Solution

The fourth proportional to 106,564.93, 147,057.36 and 58,165.26 is: 80,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564.93 : 147,057.36 = 58,165.26 : x
  2. Step 2: Convert to fraction form
    106,564.93/147,057.36 = 58,165.26/x
  3. Step 3: Cross multiply
    106,564.93x = 147,057.36 × 58,165.26
  4. Step 4: Simplify right side
    106,564.93x = 8,553,629,579.31
  5. Step 5: Solve for x
    x = 8,553,629,579.31/106,564.93
  6. Step 6: Final answer
    x = 80,266.83

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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.