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Finding the Fourth Proportional to 105,954.75, 146,230.52 and 61,242.75

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Solution

The fourth proportional to 105,954.75, 146,230.52 and 61,242.75 is: 84,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,954.75 : 146,230.52 = 61,242.75 : x
  2. Step 2: Convert to fraction form
    105,954.75/146,230.52 = 61,242.75/x
  3. Step 3: Cross multiply
    105,954.75x = 146,230.52 × 61,242.75
  4. Step 4: Simplify right side
    105,954.75x = 8,955,558,872.52
  5. Step 5: Solve for x
    x = 8,955,558,872.52/105,954.75
  6. Step 6: Final answer
    x = 84,522.49

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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.