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Finding the Fourth Proportional to 161,906.11, 242,879.51 and 86,923.19

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Solution

The fourth proportional to 161,906.11, 242,879.51 and 86,923.19 is: 130,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,906.11 : 242,879.51 = 86,923.19 : x
  2. Step 2: Convert to fraction form
    161,906.11/242,879.51 = 86,923.19/x
  3. Step 3: Cross multiply
    161,906.11x = 242,879.51 × 86,923.19
  4. Step 4: Simplify right side
    161,906.11x = 21,111,862,619.34
  5. Step 5: Solve for x
    x = 21,111,862,619.34/161,906.11
  6. Step 6: Final answer
    x = 130,395.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.