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Finding the Fourth Proportional to 171,776.16, 237,057.12 and 100,144.08

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Solution

The fourth proportional to 171,776.16, 237,057.12 and 100,144.08 is: 138,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,776.16 : 237,057.12 = 100,144.08 : x
  2. Step 2: Convert to fraction form
    171,776.16/237,057.12 = 100,144.08/x
  3. Step 3: Cross multiply
    171,776.16x = 237,057.12 × 100,144.08
  4. Step 4: Simplify right side
    171,776.16x = 23,739,867,189.85
  5. Step 5: Solve for x
    x = 23,739,867,189.85/171,776.16
  6. Step 6: Final answer
    x = 138,202.34

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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.