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Finding the Fourth Proportional to 289,953, 400,136.22 and 169,177.68

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Solution

The fourth proportional to 289,953, 400,136.22 and 169,177.68 is: 233,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,953 : 400,136.22 = 169,177.68 : x
  2. Step 2: Convert to fraction form
    289,953/400,136.22 = 169,177.68/x
  3. Step 3: Cross multiply
    289,953x = 400,136.22 × 169,177.68
  4. Step 4: Simplify right side
    289,953x = 67,694,117,383.57
  5. Step 5: Solve for x
    x = 67,694,117,383.57/289,953
  6. Step 6: Final answer
    x = 233,465.83

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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.