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Finding the Fourth Proportional to 207,568.26, 311,352.60 and 57,808.86

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Solution

The fourth proportional to 207,568.26, 311,352.60 and 57,808.86 is: 86,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,568.26 : 311,352.60 = 57,808.86 : x
  2. Step 2: Convert to fraction form
    207,568.26/311,352.60 = 57,808.86/x
  3. Step 3: Cross multiply
    207,568.26x = 311,352.60 × 57,808.86
  4. Step 4: Simplify right side
    207,568.26x = 17,998,938,864.04
  5. Step 5: Solve for x
    x = 17,998,938,864.04/207,568.26
  6. Step 6: Final answer
    x = 86,713.35

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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.