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Finding the Fourth Proportional to 146,744.40, 220,116.60 and 123,416.40

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Solution

The fourth proportional to 146,744.40, 220,116.60 and 123,416.40 is: 185,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,744.40 : 220,116.60 = 123,416.40 : x
  2. Step 2: Convert to fraction form
    146,744.40/220,116.60 = 123,416.40/x
  3. Step 3: Cross multiply
    146,744.40x = 220,116.60 × 123,416.40
  4. Step 4: Simplify right side
    146,744.40x = 27,165,998,352.24
  5. Step 5: Solve for x
    x = 27,165,998,352.24/146,744.40
  6. Step 6: Final answer
    x = 185,124.60

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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.