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Finding the Fourth Proportional to 237,832.56, 328,213.38 and 130,396.14

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Solution

The fourth proportional to 237,832.56, 328,213.38 and 130,396.14 is: 179,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,832.56 : 328,213.38 = 130,396.14 : x
  2. Step 2: Convert to fraction form
    237,832.56/328,213.38 = 130,396.14/x
  3. Step 3: Cross multiply
    237,832.56x = 328,213.38 × 130,396.14
  4. Step 4: Simplify right side
    237,832.56x = 42,797,757,848.35
  5. Step 5: Solve for x
    x = 42,797,757,848.35/237,832.56
  6. Step 6: Final answer
    x = 179,949.11

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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.