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Finding the Fourth Proportional to 205,396.77, 283,442.32 and 114,753.42

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Solution

The fourth proportional to 205,396.77, 283,442.32 and 114,753.42 is: 158,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,396.77 : 283,442.32 = 114,753.42 : x
  2. Step 2: Convert to fraction form
    205,396.77/283,442.32 = 114,753.42/x
  3. Step 3: Cross multiply
    205,396.77x = 283,442.32 × 114,753.42
  4. Step 4: Simplify right side
    205,396.77x = 32,525,975,171.01
  5. Step 5: Solve for x
    x = 32,525,975,171.01/205,396.77
  6. Step 6: Final answer
    x = 158,356.80

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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.