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Finding the Fourth Proportional to 243,542, 365,422.44 and 154,772.48

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Solution

The fourth proportional to 243,542, 365,422.44 and 154,772.48 is: 232,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,542 : 365,422.44 = 154,772.48 : x
  2. Step 2: Convert to fraction form
    243,542/365,422.44 = 154,772.48/x
  3. Step 3: Cross multiply
    243,542x = 365,422.44 × 154,772.48
  4. Step 4: Simplify right side
    243,542x = 56,557,337,286.45
  5. Step 5: Solve for x
    x = 56,557,337,286.45/243,542
  6. Step 6: Final answer
    x = 232,228.27

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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.