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Finding the Fourth Proportional to 221,049.40, 331,574.10 and 54,837.40

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Solution

The fourth proportional to 221,049.40, 331,574.10 and 54,837.40 is: 82,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,049.40 : 331,574.10 = 54,837.40 : x
  2. Step 2: Convert to fraction form
    221,049.40/331,574.10 = 54,837.40/x
  3. Step 3: Cross multiply
    221,049.40x = 331,574.10 × 54,837.40
  4. Step 4: Simplify right side
    221,049.40x = 18,182,661,551.34
  5. Step 5: Solve for x
    x = 18,182,661,551.34/221,049.40
  6. Step 6: Final answer
    x = 82,256.10

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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.