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Finding the Fourth Proportional to 106,400.54, 146,833.77 and 58,655.60

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Solution

The fourth proportional to 106,400.54, 146,833.77 and 58,655.60 is: 80,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,400.54 : 146,833.77 = 58,655.60 : x
  2. Step 2: Convert to fraction form
    106,400.54/146,833.77 = 58,655.60/x
  3. Step 3: Cross multiply
    106,400.54x = 146,833.77 × 58,655.60
  4. Step 4: Simplify right side
    106,400.54x = 8,612,622,879.61
  5. Step 5: Solve for x
    x = 8,612,622,879.61/106,400.54
  6. Step 6: Final answer
    x = 80,945.29

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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.