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Finding the Fourth Proportional to 177,202.42, 244,530.44 and 100,711.40

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Solution

The fourth proportional to 177,202.42, 244,530.44 and 100,711.40 is: 138,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,202.42 : 244,530.44 = 100,711.40 : x
  2. Step 2: Convert to fraction form
    177,202.42/244,530.44 = 100,711.40/x
  3. Step 3: Cross multiply
    177,202.42x = 244,530.44 × 100,711.40
  4. Step 4: Simplify right side
    177,202.42x = 24,627,002,955.02
  5. Step 5: Solve for x
    x = 24,627,002,955.02/177,202.42
  6. Step 6: Final answer
    x = 138,976.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.