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Finding the Fourth Proportional to 160,967.38, 222,134.81 and 89,347.23

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Solution

The fourth proportional to 160,967.38, 222,134.81 and 89,347.23 is: 123,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,967.38 : 222,134.81 = 89,347.23 : x
  2. Step 2: Convert to fraction form
    160,967.38/222,134.81 = 89,347.23/x
  3. Step 3: Cross multiply
    160,967.38x = 222,134.81 × 89,347.23
  4. Step 4: Simplify right side
    160,967.38x = 19,847,128,888.59
  5. Step 5: Solve for x
    x = 19,847,128,888.59/160,967.38
  6. Step 6: Final answer
    x = 123,299.08

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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.