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Finding the Fourth Proportional to 237,505.86, 356,169.57 and 77,544.42

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Solution

The fourth proportional to 237,505.86, 356,169.57 and 77,544.42 is: 116,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,505.86 : 356,169.57 = 77,544.42 : x
  2. Step 2: Convert to fraction form
    237,505.86/356,169.57 = 77,544.42/x
  3. Step 3: Cross multiply
    237,505.86x = 356,169.57 × 77,544.42
  4. Step 4: Simplify right side
    237,505.86x = 27,618,962,727.30
  5. Step 5: Solve for x
    x = 27,618,962,727.30/237,505.86
  6. Step 6: Final answer
    x = 116,287.50

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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.