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Finding the Fourth Proportional to 361,083.12, 541,271.16 and 150,781.20

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Solution

The fourth proportional to 361,083.12, 541,271.16 and 150,781.20 is: 226,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,083.12 : 541,271.16 = 150,781.20 : x
  2. Step 2: Convert to fraction form
    361,083.12/541,271.16 = 150,781.20/x
  3. Step 3: Cross multiply
    361,083.12x = 541,271.16 × 150,781.20
  4. Step 4: Simplify right side
    361,083.12x = 81,613,515,030.19
  5. Step 5: Solve for x
    x = 81,613,515,030.19/361,083.12
  6. Step 6: Final answer
    x = 226,024.18

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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.