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Finding the Fourth Proportional to 205,423.98, 283,378.95 and 130,016.22

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Solution

The fourth proportional to 205,423.98, 283,378.95 and 130,016.22 is: 179,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,423.98 : 283,378.95 = 130,016.22 : x
  2. Step 2: Convert to fraction form
    205,423.98/283,378.95 = 130,016.22/x
  3. Step 3: Cross multiply
    205,423.98x = 283,378.95 × 130,016.22
  4. Step 4: Simplify right side
    205,423.98x = 36,843,859,906.57
  5. Step 5: Solve for x
    x = 36,843,859,906.57/205,423.98
  6. Step 6: Final answer
    x = 179,355.20

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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.