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Finding the Fourth Proportional to 106,363.29, 146,781.62 and 57,965.60

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Solution

The fourth proportional to 106,363.29, 146,781.62 and 57,965.60 is: 79,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,363.29 : 146,781.62 = 57,965.60 : x
  2. Step 2: Convert to fraction form
    106,363.29/146,781.62 = 57,965.60/x
  3. Step 3: Cross multiply
    106,363.29x = 146,781.62 × 57,965.60
  4. Step 4: Simplify right side
    106,363.29x = 8,508,283,648.54
  5. Step 5: Solve for x
    x = 8,508,283,648.54/106,363.29
  6. Step 6: Final answer
    x = 79,992.67

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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.