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Finding the Fourth Proportional to 206,434.40, 284,878.28 and 114,552.76

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Solution

The fourth proportional to 206,434.40, 284,878.28 and 114,552.76 is: 158,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,434.40 : 284,878.28 = 114,552.76 : x
  2. Step 2: Convert to fraction form
    206,434.40/284,878.28 = 114,552.76/x
  3. Step 3: Cross multiply
    206,434.40x = 284,878.28 × 114,552.76
  4. Step 4: Simplify right side
    206,434.40x = 32,633,593,238.05
  5. Step 5: Solve for x
    x = 32,633,593,238.05/206,434.40
  6. Step 6: Final answer
    x = 158,082.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.