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Finding the Fourth Proportional to 207,781.20, 311,448.24 and 89,508.24

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Solution

The fourth proportional to 207,781.20, 311,448.24 and 89,508.24 is: 134,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,781.20 : 311,448.24 = 89,508.24 : x
  2. Step 2: Convert to fraction form
    207,781.20/311,448.24 = 89,508.24/x
  3. Step 3: Cross multiply
    207,781.20x = 311,448.24 × 89,508.24
  4. Step 4: Simplify right side
    207,781.20x = 27,877,183,813.50
  5. Step 5: Solve for x
    x = 27,877,183,813.50/207,781.20
  6. Step 6: Final answer
    x = 134,166.05

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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.