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Finding the Fourth Proportional to 221,921.20, 332,827.80 and 64,133.20

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Solution

The fourth proportional to 221,921.20, 332,827.80 and 64,133.20 is: 96,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,921.20 : 332,827.80 = 64,133.20 : x
  2. Step 2: Convert to fraction form
    221,921.20/332,827.80 = 64,133.20/x
  3. Step 3: Cross multiply
    221,921.20x = 332,827.80 × 64,133.20
  4. Step 4: Simplify right side
    221,921.20x = 21,345,311,862.96
  5. Step 5: Solve for x
    x = 21,345,311,862.96/221,921.20
  6. Step 6: Final answer
    x = 96,184.19

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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.