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Finding the Fourth Proportional to 243,778.41, 365,602.10 and 85,986.09

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Solution

The fourth proportional to 243,778.41, 365,602.10 and 85,986.09 is: 128,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,778.41 : 365,602.10 = 85,986.09 : x
  2. Step 2: Convert to fraction form
    243,778.41/365,602.10 = 85,986.09/x
  3. Step 3: Cross multiply
    243,778.41x = 365,602.10 × 85,986.09
  4. Step 4: Simplify right side
    243,778.41x = 31,436,694,644.86
  5. Step 5: Solve for x
    x = 31,436,694,644.86/243,778.41
  6. Step 6: Final answer
    x = 128,956.02

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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.