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Finding the Fourth Proportional to 235,448.24, 353,221.56 and 77,787.41

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Solution

The fourth proportional to 235,448.24, 353,221.56 and 77,787.41 is: 116,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,448.24 : 353,221.56 = 77,787.41 : x
  2. Step 2: Convert to fraction form
    235,448.24/353,221.56 = 77,787.41/x
  3. Step 3: Cross multiply
    235,448.24x = 353,221.56 × 77,787.41
  4. Step 4: Simplify right side
    235,448.24x = 27,476,188,542.45
  5. Step 5: Solve for x
    x = 27,476,188,542.45/235,448.24
  6. Step 6: Final answer
    x = 116,697.36

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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.