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Finding the Fourth Proportional to 106,434.34, 146,879.24 and 58,687.80

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Solution

The fourth proportional to 106,434.34, 146,879.24 and 58,687.80 is: 80,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,434.34 : 146,879.24 = 58,687.80 : x
  2. Step 2: Convert to fraction form
    106,434.34/146,879.24 = 58,687.80/x
  3. Step 3: Cross multiply
    106,434.34x = 146,879.24 × 58,687.80
  4. Step 4: Simplify right side
    106,434.34x = 8,620,019,461.27
  5. Step 5: Solve for x
    x = 8,620,019,461.27/106,434.34
  6. Step 6: Final answer
    x = 80,989.08

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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.