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Finding the Fourth Proportional to 161,471.34, 222,831.90 and 89,854.38

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Solution

The fourth proportional to 161,471.34, 222,831.90 and 89,854.38 is: 123,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,471.34 : 222,831.90 = 89,854.38 : x
  2. Step 2: Convert to fraction form
    161,471.34/222,831.90 = 89,854.38/x
  3. Step 3: Cross multiply
    161,471.34x = 222,831.90 × 89,854.38
  4. Step 4: Simplify right side
    161,471.34x = 20,022,422,218.72
  5. Step 5: Solve for x
    x = 20,022,422,218.72/161,471.34
  6. Step 6: Final answer
    x = 123,999.85

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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.