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Finding the Fourth Proportional to 150,496.96, 207,688.14 and 82,520.14

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Solution

The fourth proportional to 150,496.96, 207,688.14 and 82,520.14 is: 113,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,496.96 : 207,688.14 = 82,520.14 : x
  2. Step 2: Convert to fraction form
    150,496.96/207,688.14 = 82,520.14/x
  3. Step 3: Cross multiply
    150,496.96x = 207,688.14 × 82,520.14
  4. Step 4: Simplify right side
    150,496.96x = 17,138,454,389.14
  5. Step 5: Solve for x
    x = 17,138,454,389.14/150,496.96
  6. Step 6: Final answer
    x = 113,879.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.