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Finding the Fourth Proportional to 205,551.56, 283,706.88 and 124,962

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Solution

The fourth proportional to 205,551.56, 283,706.88 and 124,962 is: 172,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,551.56 : 283,706.88 = 124,962 : x
  2. Step 2: Convert to fraction form
    205,551.56/283,706.88 = 124,962/x
  3. Step 3: Cross multiply
    205,551.56x = 283,706.88 × 124,962
  4. Step 4: Simplify right side
    205,551.56x = 35,452,579,138.56
  5. Step 5: Solve for x
    x = 35,452,579,138.56/205,551.56
  6. Step 6: Final answer
    x = 172,475.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.