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Finding the Fourth Proportional to 105,924.75, 146,189.13 and 61,212.75

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Solution

The fourth proportional to 105,924.75, 146,189.13 and 61,212.75 is: 84,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,924.75 : 146,189.13 = 61,212.75 : x
  2. Step 2: Convert to fraction form
    105,924.75/146,189.13 = 61,212.75/x
  3. Step 3: Cross multiply
    105,924.75x = 146,189.13 × 61,212.75
  4. Step 4: Simplify right side
    105,924.75x = 8,948,638,667.41
  5. Step 5: Solve for x
    x = 8,948,638,667.41/105,924.75
  6. Step 6: Final answer
    x = 84,481.09

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1.5x scale

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.