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Finding the Fourth Proportional to 133,294.80, 199,952.64 and 44,548.50

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Solution

The fourth proportional to 133,294.80, 199,952.64 and 44,548.50 is: 66,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,294.80 : 199,952.64 = 44,548.50 : x
  2. Step 2: Convert to fraction form
    133,294.80/199,952.64 = 44,548.50/x
  3. Step 3: Cross multiply
    133,294.80x = 199,952.64 × 44,548.50
  4. Step 4: Simplify right side
    133,294.80x = 8,907,590,183.04
  5. Step 5: Solve for x
    x = 8,907,590,183.04/133,294.80
  6. Step 6: Final answer
    x = 66,826.24

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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.