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Finding the Fourth Proportional to 205,534.54, 283,683.41 and 124,945

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Solution

The fourth proportional to 205,534.54, 283,683.41 and 124,945 is: 172,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,534.54 : 283,683.41 = 124,945 : x
  2. Step 2: Convert to fraction form
    205,534.54/283,683.41 = 124,945/x
  3. Step 3: Cross multiply
    205,534.54x = 283,683.41 × 124,945
  4. Step 4: Simplify right side
    205,534.54x = 35,444,823,662.45
  5. Step 5: Solve for x
    x = 35,444,823,662.45/205,534.54
  6. Step 6: Final answer
    x = 172,451.91

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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.