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Finding the Fourth Proportional to 106,107.77, 146,428.74 and 58,364.34

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Solution

The fourth proportional to 106,107.77, 146,428.74 and 58,364.34 is: 80,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,107.77 : 146,428.74 = 58,364.34 : x
  2. Step 2: Convert to fraction form
    106,107.77/146,428.74 = 58,364.34/x
  3. Step 3: Cross multiply
    106,107.77x = 146,428.74 × 58,364.34
  4. Step 4: Simplify right side
    106,107.77x = 8,546,216,767.13
  5. Step 5: Solve for x
    x = 8,546,216,767.13/106,107.77
  6. Step 6: Final answer
    x = 80,542.80

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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.