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Finding the Fourth Proportional to 101,177.73, 151,783.02 and 38,002.77

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Solution

The fourth proportional to 101,177.73, 151,783.02 and 38,002.77 is: 57,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,177.73 : 151,783.02 = 38,002.77 : x
  2. Step 2: Convert to fraction form
    101,177.73/151,783.02 = 38,002.77/x
  3. Step 3: Cross multiply
    101,177.73x = 151,783.02 × 38,002.77
  4. Step 4: Simplify right side
    101,177.73x = 5,768,175,198.97
  5. Step 5: Solve for x
    x = 5,768,175,198.97/101,177.73
  6. Step 6: Final answer
    x = 57,010.32

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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.