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Finding the Fourth Proportional to 99,811, 137,739.62 and 54,490.04

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Solution

The fourth proportional to 99,811, 137,739.62 and 54,490.04 is: 75,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,811 : 137,739.62 = 54,490.04 : x
  2. Step 2: Convert to fraction form
    99,811/137,739.62 = 54,490.04/x
  3. Step 3: Cross multiply
    99,811x = 137,739.62 × 54,490.04
  4. Step 4: Simplify right side
    99,811x = 7,505,437,403.38
  5. Step 5: Solve for x
    x = 7,505,437,403.38/99,811
  6. Step 6: Final answer
    x = 75,196.50

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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.