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Finding the Fourth Proportional to 221,798.52, 306,082.74 and 121,196.52

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Solution

The fourth proportional to 221,798.52, 306,082.74 and 121,196.52 is: 167,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,798.52 : 306,082.74 = 121,196.52 : x
  2. Step 2: Convert to fraction form
    221,798.52/306,082.74 = 121,196.52/x
  3. Step 3: Cross multiply
    221,798.52x = 306,082.74 × 121,196.52
  4. Step 4: Simplify right side
    221,798.52x = 37,096,162,920.06
  5. Step 5: Solve for x
    x = 37,096,162,920.06/221,798.52
  6. Step 6: Final answer
    x = 167,251.63

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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.