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Finding the Fourth Proportional to 205,535.54, 283,684.79 and 124,946

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Solution

The fourth proportional to 205,535.54, 283,684.79 and 124,946 is: 172,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,535.54 : 283,684.79 = 124,946 : x
  2. Step 2: Convert to fraction form
    205,535.54/283,684.79 = 124,946/x
  3. Step 3: Cross multiply
    205,535.54x = 283,684.79 × 124,946
  4. Step 4: Simplify right side
    205,535.54x = 35,445,279,771.34
  5. Step 5: Solve for x
    x = 35,445,279,771.34/205,535.54
  6. Step 6: Final answer
    x = 172,453.29

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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.