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Finding the Fourth Proportional to 227,478.78, 340,941.45 and 160,938.09

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Solution

The fourth proportional to 227,478.78, 340,941.45 and 160,938.09 is: 241,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,478.78 : 340,941.45 = 160,938.09 : x
  2. Step 2: Convert to fraction form
    227,478.78/340,941.45 = 160,938.09/x
  3. Step 3: Cross multiply
    227,478.78x = 340,941.45 × 160,938.09
  4. Step 4: Simplify right side
    227,478.78x = 54,870,465,764.83
  5. Step 5: Solve for x
    x = 54,870,465,764.83/227,478.78
  6. Step 6: Final answer
    x = 241,211.36

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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.