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Finding the Fourth Proportional to 146,475.76, 219,694.20 and 41,303.20

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Solution

The fourth proportional to 146,475.76, 219,694.20 and 41,303.20 is: 61,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,475.76 : 219,694.20 = 41,303.20 : x
  2. Step 2: Convert to fraction form
    146,475.76/219,694.20 = 41,303.20/x
  3. Step 3: Cross multiply
    146,475.76x = 219,694.20 × 41,303.20
  4. Step 4: Simplify right side
    146,475.76x = 9,074,073,481.44
  5. Step 5: Solve for x
    x = 9,074,073,481.44/146,475.76
  6. Step 6: Final answer
    x = 61,949.32

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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.