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Finding the Fourth Proportional to 361,218.24, 541,878.16 and 150,808.32

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Solution

The fourth proportional to 361,218.24, 541,878.16 and 150,808.32 is: 226,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,218.24 : 541,878.16 = 150,808.32 : x
  2. Step 2: Convert to fraction form
    361,218.24/541,878.16 = 150,808.32/x
  3. Step 3: Cross multiply
    361,218.24x = 541,878.16 × 150,808.32
  4. Step 4: Simplify right side
    361,218.24x = 81,719,734,954.29
  5. Step 5: Solve for x
    x = 81,719,734,954.29/361,218.24
  6. Step 6: Final answer
    x = 226,233.69

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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.