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Finding the Fourth Proportional to 146,980.92, 220,341.78 and 109,494.12

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Solution

The fourth proportional to 146,980.92, 220,341.78 and 109,494.12 is: 164,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,980.92 : 220,341.78 = 109,494.12 : x
  2. Step 2: Convert to fraction form
    146,980.92/220,341.78 = 109,494.12/x
  3. Step 3: Cross multiply
    146,980.92x = 220,341.78 × 109,494.12
  4. Step 4: Simplify right side
    146,980.92x = 24,126,129,300.33
  5. Step 5: Solve for x
    x = 24,126,129,300.33/146,980.92
  6. Step 6: Final answer
    x = 164,144.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.