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Finding the Fourth Proportional to 281,255.38, 388,142.31 and 153,930.94

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Solution

The fourth proportional to 281,255.38, 388,142.31 and 153,930.94 is: 212,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,255.38 : 388,142.31 = 153,930.94 : x
  2. Step 2: Convert to fraction form
    281,255.38/388,142.31 = 153,930.94/x
  3. Step 3: Cross multiply
    281,255.38x = 388,142.31 × 153,930.94
  4. Step 4: Simplify right side
    281,255.38x = 59,747,110,238.96
  5. Step 5: Solve for x
    x = 59,747,110,238.96/281,255.38
  6. Step 6: Final answer
    x = 212,430.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.