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Finding the Fourth Proportional to 133,152, 199,734.48 and 39,658.56

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Solution

The fourth proportional to 133,152, 199,734.48 and 39,658.56 is: 59,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,152 : 199,734.48 = 39,658.56 : x
  2. Step 2: Convert to fraction form
    133,152/199,734.48 = 39,658.56/x
  3. Step 3: Cross multiply
    133,152x = 199,734.48 × 39,658.56
  4. Step 4: Simplify right side
    133,152x = 7,921,181,859.15
  5. Step 5: Solve for x
    x = 7,921,181,859.15/133,152
  6. Step 6: Final answer
    x = 59,489.77

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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.