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Finding the Fourth Proportional to 160,920.63, 222,072.89 and 89,305.29

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Solution

The fourth proportional to 160,920.63, 222,072.89 and 89,305.29 is: 123,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,920.63 : 222,072.89 = 89,305.29 : x
  2. Step 2: Convert to fraction form
    160,920.63/222,072.89 = 89,305.29/x
  3. Step 3: Cross multiply
    160,920.63x = 222,072.89 × 89,305.29
  4. Step 4: Simplify right side
    160,920.63x = 19,832,283,396.06
  5. Step 5: Solve for x
    x = 19,832,283,396.06/160,920.63
  6. Step 6: Final answer
    x = 123,242.64

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1.5x scale

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.