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Finding the Fourth Proportional to 157,363.36, 217,241.76 and 106,644

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Solution

The fourth proportional to 157,363.36, 217,241.76 and 106,644 is: 147,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,363.36 : 217,241.76 = 106,644 : x
  2. Step 2: Convert to fraction form
    157,363.36/217,241.76 = 106,644/x
  3. Step 3: Cross multiply
    157,363.36x = 217,241.76 × 106,644
  4. Step 4: Simplify right side
    157,363.36x = 23,167,530,253.44
  5. Step 5: Solve for x
    x = 23,167,530,253.44/157,363.36
  6. Step 6: Final answer
    x = 147,223.15

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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.