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Finding the Fourth Proportional to 133,089.21, 199,643.40 and 41,896.80

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Solution

The fourth proportional to 133,089.21, 199,643.40 and 41,896.80 is: 62,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089.21 : 199,643.40 = 41,896.80 : x
  2. Step 2: Convert to fraction form
    133,089.21/199,643.40 = 41,896.80/x
  3. Step 3: Cross multiply
    133,089.21x = 199,643.40 × 41,896.80
  4. Step 4: Simplify right side
    133,089.21x = 8,364,419,601.12
  5. Step 5: Solve for x
    x = 8,364,419,601.12/133,089.21
  6. Step 6: Final answer
    x = 62,848.22

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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.