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Finding the Fourth Proportional to 361,522.34, 542,288.12 and 136,822.44

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Solution

The fourth proportional to 361,522.34, 542,288.12 and 136,822.44 is: 205,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,522.34 : 542,288.12 = 136,822.44 : x
  2. Step 2: Convert to fraction form
    361,522.34/542,288.12 = 136,822.44/x
  3. Step 3: Cross multiply
    361,522.34x = 542,288.12 × 136,822.44
  4. Step 4: Simplify right side
    361,522.34x = 74,197,184,103.47
  5. Step 5: Solve for x
    x = 74,197,184,103.47/361,522.34
  6. Step 6: Final answer
    x = 205,235.40

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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.