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Finding the Fourth Proportional to 205,456.66, 283,524.72 and 114,813.36

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Solution

The fourth proportional to 205,456.66, 283,524.72 and 114,813.36 is: 158,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,456.66 : 283,524.72 = 114,813.36 : x
  2. Step 2: Convert to fraction form
    205,456.66/283,524.72 = 114,813.36/x
  3. Step 3: Cross multiply
    205,456.66x = 283,524.72 × 114,813.36
  4. Step 4: Simplify right side
    205,456.66x = 32,552,425,746.26
  5. Step 5: Solve for x
    x = 32,552,425,746.26/205,456.66
  6. Step 6: Final answer
    x = 158,439.38

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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.