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Finding the Fourth Proportional to 207,900.14, 286,902.14 and 117,255.92

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Solution

The fourth proportional to 207,900.14, 286,902.14 and 117,255.92 is: 161,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,900.14 : 286,902.14 = 117,255.92 : x
  2. Step 2: Convert to fraction form
    207,900.14/286,902.14 = 117,255.92/x
  3. Step 3: Cross multiply
    207,900.14x = 286,902.14 × 117,255.92
  4. Step 4: Simplify right side
    207,900.14x = 33,640,973,789.39
  5. Step 5: Solve for x
    x = 33,640,973,789.39/207,900.14
  6. Step 6: Final answer
    x = 161,813.14

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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.