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Finding the Fourth Proportional to 205,333.29, 283,356.95 and 114,690.54

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Solution

The fourth proportional to 205,333.29, 283,356.95 and 114,690.54 is: 158,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,333.29 : 283,356.95 = 114,690.54 : x
  2. Step 2: Convert to fraction form
    205,333.29/283,356.95 = 114,690.54/x
  3. Step 3: Cross multiply
    205,333.29x = 283,356.95 × 114,690.54
  4. Step 4: Simplify right side
    205,333.29x = 32,498,361,034.80
  5. Step 5: Solve for x
    x = 32,498,361,034.80/205,333.29
  6. Step 6: Final answer
    x = 158,271.27

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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.