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Finding the Fourth Proportional to 209,601.52, 289,241 and 114,108.54

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Solution

The fourth proportional to 209,601.52, 289,241 and 114,108.54 is: 157,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,601.52 : 289,241 = 114,108.54 : x
  2. Step 2: Convert to fraction form
    209,601.52/289,241 = 114,108.54/x
  3. Step 3: Cross multiply
    209,601.52x = 289,241 × 114,108.54
  4. Step 4: Simplify right side
    209,601.52x = 33,004,868,218.14
  5. Step 5: Solve for x
    x = 33,004,868,218.14/209,601.52
  6. Step 6: Final answer
    x = 157,464.83

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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.