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Finding the Fourth Proportional to 207,950, 286,999.08 and 117,324.56

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Solution

The fourth proportional to 207,950, 286,999.08 and 117,324.56 is: 161,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,950 : 286,999.08 = 117,324.56 : x
  2. Step 2: Convert to fraction form
    207,950/286,999.08 = 117,324.56/x
  3. Step 3: Cross multiply
    207,950x = 286,999.08 × 117,324.56
  4. Step 4: Simplify right side
    207,950x = 33,672,040,781.40
  5. Step 5: Solve for x
    x = 33,672,040,781.40/207,950
  6. Step 6: Final answer
    x = 161,923.74

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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.