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Finding the Fourth Proportional to 237,759.42, 356,693.80 and 77,840.52

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Solution

The fourth proportional to 237,759.42, 356,693.80 and 77,840.52 is: 116,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,759.42 : 356,693.80 = 77,840.52 : x
  2. Step 2: Convert to fraction form
    237,759.42/356,693.80 = 77,840.52/x
  3. Step 3: Cross multiply
    237,759.42x = 356,693.80 × 77,840.52
  4. Step 4: Simplify right side
    237,759.42x = 27,765,230,872.78
  5. Step 5: Solve for x
    x = 27,765,230,872.78/237,759.42
  6. Step 6: Final answer
    x = 116,778.68

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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.