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Finding the Fourth Proportional to 151,951.77, 227,930.58 and 46,770.63

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Solution

The fourth proportional to 151,951.77, 227,930.58 and 46,770.63 is: 70,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,951.77 : 227,930.58 = 46,770.63 : x
  2. Step 2: Convert to fraction form
    151,951.77/227,930.58 = 46,770.63/x
  3. Step 3: Cross multiply
    151,951.77x = 227,930.58 × 46,770.63
  4. Step 4: Simplify right side
    151,951.77x = 10,660,456,822.87
  5. Step 5: Solve for x
    x = 10,660,456,822.87/151,951.77
  6. Step 6: Final answer
    x = 70,156.85

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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.