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Finding the Fourth Proportional to 138,923.67, 208,385.51 and 50,176.83

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Solution

The fourth proportional to 138,923.67, 208,385.51 and 50,176.83 is: 75,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,923.67 : 208,385.51 = 50,176.83 : x
  2. Step 2: Convert to fraction form
    138,923.67/208,385.51 = 50,176.83/x
  3. Step 3: Cross multiply
    138,923.67x = 208,385.51 × 50,176.83
  4. Step 4: Simplify right side
    138,923.67x = 10,456,124,058.85
  5. Step 5: Solve for x
    x = 10,456,124,058.85/138,923.67
  6. Step 6: Final answer
    x = 75,265.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.