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Finding the Fourth Proportional to 105,894.44, 146,147.49 and 60,566.14

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Solution

The fourth proportional to 105,894.44, 146,147.49 and 60,566.14 is: 83,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,894.44 : 146,147.49 = 60,566.14 : x
  2. Step 2: Convert to fraction form
    105,894.44/146,147.49 = 60,566.14/x
  3. Step 3: Cross multiply
    105,894.44x = 146,147.49 × 60,566.14
  4. Step 4: Simplify right side
    105,894.44x = 8,851,588,609.25
  5. Step 5: Solve for x
    x = 8,851,588,609.25/105,894.44
  6. Step 6: Final answer
    x = 83,588.79

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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.