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Finding the Fourth Proportional to 114,225.67, 171,356.87 and 39,327.40

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Solution

The fourth proportional to 114,225.67, 171,356.87 and 39,327.40 is: 58,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,225.67 : 171,356.87 = 39,327.40 : x
  2. Step 2: Convert to fraction form
    114,225.67/171,356.87 = 39,327.40/x
  3. Step 3: Cross multiply
    114,225.67x = 171,356.87 × 39,327.40
  4. Step 4: Simplify right side
    114,225.67x = 6,739,019,972.60
  5. Step 5: Solve for x
    x = 6,739,019,972.60/114,225.67
  6. Step 6: Final answer
    x = 58,997.42

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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.