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Finding the Fourth Proportional to 160,881.25, 222,016.16 and 89,261.10

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Solution

The fourth proportional to 160,881.25, 222,016.16 and 89,261.10 is: 123,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,881.25 : 222,016.16 = 89,261.10 : x
  2. Step 2: Convert to fraction form
    160,881.25/222,016.16 = 89,261.10/x
  3. Step 3: Cross multiply
    160,881.25x = 222,016.16 × 89,261.10
  4. Step 4: Simplify right side
    160,881.25x = 19,817,406,659.38
  5. Step 5: Solve for x
    x = 19,817,406,659.38/160,881.25
  6. Step 6: Final answer
    x = 123,180.34

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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.