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Finding the Fourth Proportional to 217,015.70, 299,467.41 and 121,500.50

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Solution

The fourth proportional to 217,015.70, 299,467.41 and 121,500.50 is: 167,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,015.70 : 299,467.41 = 121,500.50 : x
  2. Step 2: Convert to fraction form
    217,015.70/299,467.41 = 121,500.50/x
  3. Step 3: Cross multiply
    217,015.70x = 299,467.41 × 121,500.50
  4. Step 4: Simplify right side
    217,015.70x = 36,385,440,048.71
  5. Step 5: Solve for x
    x = 36,385,440,048.71/217,015.70
  6. Step 6: Final answer
    x = 167,662.71

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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.