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Finding the Fourth Proportional to 106,372.49, 146,842.54 and 75,765.29

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Solution

The fourth proportional to 106,372.49, 146,842.54 and 75,765.29 is: 104,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,372.49 : 146,842.54 = 75,765.29 : x
  2. Step 2: Convert to fraction form
    106,372.49/146,842.54 = 75,765.29/x
  3. Step 3: Cross multiply
    106,372.49x = 146,842.54 × 75,765.29
  4. Step 4: Simplify right side
    106,372.49x = 11,125,566,703.81
  5. Step 5: Solve for x
    x = 11,125,566,703.81/106,372.49
  6. Step 6: Final answer
    x = 104,590.64

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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.