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Finding the Fourth Proportional to 106,266.94, 146,648.37 and 58,520.17

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Solution

The fourth proportional to 106,266.94, 146,648.37 and 58,520.17 is: 80,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,266.94 : 146,648.37 = 58,520.17 : x
  2. Step 2: Convert to fraction form
    106,266.94/146,648.37 = 58,520.17/x
  3. Step 3: Cross multiply
    106,266.94x = 146,648.37 × 58,520.17
  4. Step 4: Simplify right side
    106,266.94x = 8,581,887,945.38
  5. Step 5: Solve for x
    x = 8,581,887,945.38/106,266.94
  6. Step 6: Final answer
    x = 80,757.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.