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Finding the Fourth Proportional to 237,794.82, 356,731.62 and 117,857.42

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Solution

The fourth proportional to 237,794.82, 356,731.62 and 117,857.42 is: 176,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,794.82 : 356,731.62 = 117,857.42 : x
  2. Step 2: Convert to fraction form
    237,794.82/356,731.62 = 117,857.42/x
  3. Step 3: Cross multiply
    237,794.82x = 356,731.62 × 117,857.42
  4. Step 4: Simplify right side
    237,794.82x = 42,043,466,581.96
  5. Step 5: Solve for x
    x = 42,043,466,581.96/237,794.82
  6. Step 6: Final answer
    x = 176,805.65

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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.