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Finding the Fourth Proportional to 133,167.72, 199,724.64 and 48,898.96

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Solution

The fourth proportional to 133,167.72, 199,724.64 and 48,898.96 is: 73,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,167.72 : 199,724.64 = 48,898.96 : x
  2. Step 2: Convert to fraction form
    133,167.72/199,724.64 = 48,898.96/x
  3. Step 3: Cross multiply
    133,167.72x = 199,724.64 × 48,898.96
  4. Step 4: Simplify right side
    133,167.72x = 9,766,327,182.37
  5. Step 5: Solve for x
    x = 9,766,327,182.37/133,167.72
  6. Step 6: Final answer
    x = 73,338.55

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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.