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Finding the Fourth Proportional to 205,434.64, 283,501.68 and 120,553.12

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Solution

The fourth proportional to 205,434.64, 283,501.68 and 120,553.12 is: 166,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,434.64 : 283,501.68 = 120,553.12 : x
  2. Step 2: Convert to fraction form
    205,434.64/283,501.68 = 120,553.12/x
  3. Step 3: Cross multiply
    205,434.64x = 283,501.68 × 120,553.12
  4. Step 4: Simplify right side
    205,434.64x = 34,177,012,049.24
  5. Step 5: Solve for x
    x = 34,177,012,049.24/205,434.64
  6. Step 6: Final answer
    x = 166,364.41

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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.