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Finding the Fourth Proportional to 217,027.92, 299,484 and 120,225.21

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Solution

The fourth proportional to 217,027.92, 299,484 and 120,225.21 is: 165,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,027.92 : 299,484 = 120,225.21 : x
  2. Step 2: Convert to fraction form
    217,027.92/299,484 = 120,225.21/x
  3. Step 3: Cross multiply
    217,027.92x = 299,484 × 120,225.21
  4. Step 4: Simplify right side
    217,027.92x = 36,005,526,791.64
  5. Step 5: Solve for x
    x = 36,005,526,791.64/217,027.92
  6. Step 6: Final answer
    x = 165,902.74

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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.