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Finding the Fourth Proportional to 146,483.20, 219,724.80 and 136,652.80

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Solution

The fourth proportional to 146,483.20, 219,724.80 and 136,652.80 is: 204,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,483.20 : 219,724.80 = 136,652.80 : x
  2. Step 2: Convert to fraction form
    146,483.20/219,724.80 = 136,652.80/x
  3. Step 3: Cross multiply
    146,483.20x = 219,724.80 × 136,652.80
  4. Step 4: Simplify right side
    146,483.20x = 30,026,009,149.44
  5. Step 5: Solve for x
    x = 30,026,009,149.44/146,483.20
  6. Step 6: Final answer
    x = 204,979.20

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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.