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Finding the Fourth Proportional to 209,600.25, 289,321.25 and 124,715.49

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Solution

The fourth proportional to 209,600.25, 289,321.25 and 124,715.49 is: 172,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,600.25 : 289,321.25 = 124,715.49 : x
  2. Step 2: Convert to fraction form
    209,600.25/289,321.25 = 124,715.49/x
  3. Step 3: Cross multiply
    209,600.25x = 289,321.25 × 124,715.49
  4. Step 4: Simplify right side
    209,600.25x = 36,082,840,837.59
  5. Step 5: Solve for x
    x = 36,082,840,837.59/209,600.25
  6. Step 6: Final answer
    x = 172,150.75

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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.