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Finding the Fourth Proportional to 217,245.15, 299,781.95 and 121,733.46

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Solution

The fourth proportional to 217,245.15, 299,781.95 and 121,733.46 is: 167,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,245.15 : 299,781.95 = 121,733.46 : x
  2. Step 2: Convert to fraction form
    217,245.15/299,781.95 = 121,733.46/x
  3. Step 3: Cross multiply
    217,245.15x = 299,781.95 × 121,733.46
  4. Step 4: Simplify right side
    217,245.15x = 36,493,493,410.38
  5. Step 5: Solve for x
    x = 36,493,493,410.38/217,245.15
  6. Step 6: Final answer
    x = 167,983.01

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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.