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Finding the Fourth Proportional to 105,876.67, 146,110.09 and 58,133.11

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Solution

The fourth proportional to 105,876.67, 146,110.09 and 58,133.11 is: 80,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,876.67 : 146,110.09 = 58,133.11 : x
  2. Step 2: Convert to fraction form
    105,876.67/146,110.09 = 58,133.11/x
  3. Step 3: Cross multiply
    105,876.67x = 146,110.09 × 58,133.11
  4. Step 4: Simplify right side
    105,876.67x = 8,493,833,934.08
  5. Step 5: Solve for x
    x = 8,493,833,934.08/105,876.67
  6. Step 6: Final answer
    x = 80,223.85

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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.