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Finding the Fourth Proportional to 133,166.72, 199,723.14 and 48,897.96

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Solution

The fourth proportional to 133,166.72, 199,723.14 and 48,897.96 is: 73,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,166.72 : 199,723.14 = 48,897.96 : x
  2. Step 2: Convert to fraction form
    133,166.72/199,723.14 = 48,897.96/x
  3. Step 3: Cross multiply
    133,166.72x = 199,723.14 × 48,897.96
  4. Step 4: Simplify right side
    133,166.72x = 9,766,054,110.79
  5. Step 5: Solve for x
    x = 9,766,054,110.79/133,166.72
  6. Step 6: Final answer
    x = 73,337.05

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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.