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Finding the Fourth Proportional to 235,469.80, 353,204.70 and 77,660.20

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Solution

The fourth proportional to 235,469.80, 353,204.70 and 77,660.20 is: 116,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,469.80 : 353,204.70 = 77,660.20 : x
  2. Step 2: Convert to fraction form
    235,469.80/353,204.70 = 77,660.20/x
  3. Step 3: Cross multiply
    235,469.80x = 353,204.70 × 77,660.20
  4. Step 4: Simplify right side
    235,469.80x = 27,429,947,642.94
  5. Step 5: Solve for x
    x = 27,429,947,642.94/235,469.80
  6. Step 6: Final answer
    x = 116,490.30

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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.