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Finding the Fourth Proportional to 237,617.96, 356,431.44 and 77,693.96

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Solution

The fourth proportional to 237,617.96, 356,431.44 and 77,693.96 is: 116,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,617.96 : 356,431.44 = 77,693.96 : x
  2. Step 2: Convert to fraction form
    237,617.96/356,431.44 = 77,693.96/x
  3. Step 3: Cross multiply
    237,617.96x = 356,431.44 × 77,693.96
  4. Step 4: Simplify right side
    237,617.96x = 27,692,570,042.10
  5. Step 5: Solve for x
    x = 27,692,570,042.10/237,617.96
  6. Step 6: Final answer
    x = 116,542.41

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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.