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Finding the Fourth Proportional to 217,231.92, 299,465.91 and 152,504.06

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Solution

The fourth proportional to 217,231.92, 299,465.91 and 152,504.06 is: 210,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,231.92 : 299,465.91 = 152,504.06 : x
  2. Step 2: Convert to fraction form
    217,231.92/299,465.91 = 152,504.06/x
  3. Step 3: Cross multiply
    217,231.92x = 299,465.91 × 152,504.06
  4. Step 4: Simplify right side
    217,231.92x = 45,669,765,609.27
  5. Step 5: Solve for x
    x = 45,669,765,609.27/217,231.92
  6. Step 6: Final answer
    x = 210,235.06

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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.