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Finding the Fourth Proportional to 160,893.80, 222,046.82 and 89,297

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Solution

The fourth proportional to 160,893.80, 222,046.82 and 89,297 is: 123,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,893.80 : 222,046.82 = 89,297 : x
  2. Step 2: Convert to fraction form
    160,893.80/222,046.82 = 89,297/x
  3. Step 3: Cross multiply
    160,893.80x = 222,046.82 × 89,297
  4. Step 4: Simplify right side
    160,893.80x = 19,828,114,885.54
  5. Step 5: Solve for x
    x = 19,828,114,885.54/160,893.80
  6. Step 6: Final answer
    x = 123,237.28

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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.