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Finding the Fourth Proportional to 207,575.50, 311,363.55 and 57,816.22

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Solution

The fourth proportional to 207,575.50, 311,363.55 and 57,816.22 is: 86,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,575.50 : 311,363.55 = 57,816.22 : x
  2. Step 2: Convert to fraction form
    207,575.50/311,363.55 = 57,816.22/x
  3. Step 3: Cross multiply
    207,575.50x = 311,363.55 × 57,816.22
  4. Step 4: Simplify right side
    207,575.50x = 18,001,863,506.78
  5. Step 5: Solve for x
    x = 18,001,863,506.78/207,575.50
  6. Step 6: Final answer
    x = 86,724.41

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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.