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Finding the Fourth Proportional to 151,951.52, 227,930.21 and 46,770.38

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Solution

The fourth proportional to 151,951.52, 227,930.21 and 46,770.38 is: 70,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,951.52 : 227,930.21 = 46,770.38 : x
  2. Step 2: Convert to fraction form
    151,951.52/227,930.21 = 46,770.38/x
  3. Step 3: Cross multiply
    151,951.52x = 227,930.21 × 46,770.38
  4. Step 4: Simplify right side
    151,951.52x = 10,660,381,161.68
  5. Step 5: Solve for x
    x = 10,660,381,161.68/151,951.52
  6. Step 6: Final answer
    x = 70,156.47

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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.