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Finding the Fourth Proportional to 209,663.70, 289,296.51 and 123,649.79

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Solution

The fourth proportional to 209,663.70, 289,296.51 and 123,649.79 is: 170,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,663.70 : 289,296.51 = 123,649.79 : x
  2. Step 2: Convert to fraction form
    209,663.70/289,296.51 = 123,649.79/x
  3. Step 3: Cross multiply
    209,663.70x = 289,296.51 × 123,649.79
  4. Step 4: Simplify right side
    209,663.70x = 35,771,451,262.75
  5. Step 5: Solve for x
    x = 35,771,451,262.75/209,663.70
  6. Step 6: Final answer
    x = 170,613.47

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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.