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Finding the Fourth Proportional to 207,683.14, 311,531.43 and 65,529.73

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Solution

The fourth proportional to 207,683.14, 311,531.43 and 65,529.73 is: 98,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,683.14 : 311,531.43 = 65,529.73 : x
  2. Step 2: Convert to fraction form
    207,683.14/311,531.43 = 65,529.73/x
  3. Step 3: Cross multiply
    207,683.14x = 311,531.43 × 65,529.73
  4. Step 4: Simplify right side
    207,683.14x = 20,414,570,494.41
  5. Step 5: Solve for x
    x = 20,414,570,494.41/207,683.14
  6. Step 6: Final answer
    x = 98,296.72

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1.5x scale

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.