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Finding the Fourth Proportional to 114,202.61, 171,190.90 and 54,125.49

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Solution

The fourth proportional to 114,202.61, 171,190.90 and 54,125.49 is: 81,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,202.61 : 171,190.90 = 54,125.49 : x
  2. Step 2: Convert to fraction form
    114,202.61/171,190.90 = 54,125.49/x
  3. Step 3: Cross multiply
    114,202.61x = 171,190.90 × 54,125.49
  4. Step 4: Simplify right side
    114,202.61x = 9,265,791,346.04
  5. Step 5: Solve for x
    x = 9,265,791,346.04/114,202.61
  6. Step 6: Final answer
    x = 81,134.67

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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.