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Finding the Fourth Proportional to 227,647.78, 341,191.95 and 161,106.82

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Solution

The fourth proportional to 227,647.78, 341,191.95 and 161,106.82 is: 241,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,647.78 : 341,191.95 = 161,106.82 : x
  2. Step 2: Convert to fraction form
    227,647.78/341,191.95 = 161,106.82/x
  3. Step 3: Cross multiply
    227,647.78x = 341,191.95 × 161,106.82
  4. Step 4: Simplify right side
    227,647.78x = 54,968,350,074.10
  5. Step 5: Solve for x
    x = 54,968,350,074.10/227,647.78
  6. Step 6: Final answer
    x = 241,462.27

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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.