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Finding the Fourth Proportional to 146,809.20, 220,271.40 and 53,324.40

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Solution

The fourth proportional to 146,809.20, 220,271.40 and 53,324.40 is: 80,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,809.20 : 220,271.40 = 53,324.40 : x
  2. Step 2: Convert to fraction form
    146,809.20/220,271.40 = 53,324.40/x
  3. Step 3: Cross multiply
    146,809.20x = 220,271.40 × 53,324.40
  4. Step 4: Simplify right side
    146,809.20x = 11,745,840,242.16
  5. Step 5: Solve for x
    x = 11,745,840,242.16/146,809.20
  6. Step 6: Final answer
    x = 80,007.52

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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.