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Finding the Fourth Proportional to 289,149.84, 399,011.13 and 161,800.83

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Solution

The fourth proportional to 289,149.84, 399,011.13 and 161,800.83 is: 223,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,149.84 : 399,011.13 = 161,800.83 : x
  2. Step 2: Convert to fraction form
    289,149.84/399,011.13 = 161,800.83/x
  3. Step 3: Cross multiply
    289,149.84x = 399,011.13 × 161,800.83
  4. Step 4: Simplify right side
    289,149.84x = 64,560,332,013.24
  5. Step 5: Solve for x
    x = 64,560,332,013.24/289,149.84
  6. Step 6: Final answer
    x = 223,276.39

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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.