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Finding the Fourth Proportional to 207,975.80, 311,963.70 and 83,406.20

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Solution

The fourth proportional to 207,975.80, 311,963.70 and 83,406.20 is: 125,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,975.80 : 311,963.70 = 83,406.20 : x
  2. Step 2: Convert to fraction form
    207,975.80/311,963.70 = 83,406.20/x
  3. Step 3: Cross multiply
    207,975.80x = 311,963.70 × 83,406.20
  4. Step 4: Simplify right side
    207,975.80x = 26,019,706,754.94
  5. Step 5: Solve for x
    x = 26,019,706,754.94/207,975.80
  6. Step 6: Final answer
    x = 125,109.30

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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.