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Finding the Fourth Proportional to 215,666.84, 297,616.22 and 120,171.48

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Solution

The fourth proportional to 215,666.84, 297,616.22 and 120,171.48 is: 165,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,666.84 : 297,616.22 = 120,171.48 : x
  2. Step 2: Convert to fraction form
    215,666.84/297,616.22 = 120,171.48/x
  3. Step 3: Cross multiply
    215,666.84x = 297,616.22 × 120,171.48
  4. Step 4: Simplify right side
    215,666.84x = 35,764,981,629.41
  5. Step 5: Solve for x
    x = 35,764,981,629.41/215,666.84
  6. Step 6: Final answer
    x = 165,834.40

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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.