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Finding the Fourth Proportional to 213,101.28, 319,544.40 and 79,976.16

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Solution

The fourth proportional to 213,101.28, 319,544.40 and 79,976.16 is: 119,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,101.28 : 319,544.40 = 79,976.16 : x
  2. Step 2: Convert to fraction form
    213,101.28/319,544.40 = 79,976.16/x
  3. Step 3: Cross multiply
    213,101.28x = 319,544.40 × 79,976.16
  4. Step 4: Simplify right side
    213,101.28x = 25,555,934,061.50
  5. Step 5: Solve for x
    x = 25,555,934,061.50/213,101.28
  6. Step 6: Final answer
    x = 119,923.89

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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.