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Finding the Fourth Proportional to 205,121.77, 283,040.06 and 114,466.16

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Solution

The fourth proportional to 205,121.77, 283,040.06 and 114,466.16 is: 157,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,121.77 : 283,040.06 = 114,466.16 : x
  2. Step 2: Convert to fraction form
    205,121.77/283,040.06 = 114,466.16/x
  3. Step 3: Cross multiply
    205,121.77x = 283,040.06 × 114,466.16
  4. Step 4: Simplify right side
    205,121.77x = 32,398,508,929.64
  5. Step 5: Solve for x
    x = 32,398,508,929.64/205,121.77
  6. Step 6: Final answer
    x = 157,947.69

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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.