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Finding the Fourth Proportional to 207,516.82, 286,400.46 and 116,890.60

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Solution

The fourth proportional to 207,516.82, 286,400.46 and 116,890.60 is: 161,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,516.82 : 286,400.46 = 116,890.60 : x
  2. Step 2: Convert to fraction form
    207,516.82/286,400.46 = 116,890.60/x
  3. Step 3: Cross multiply
    207,516.82x = 286,400.46 × 116,890.60
  4. Step 4: Simplify right side
    207,516.82x = 33,477,521,609.68
  5. Step 5: Solve for x
    x = 33,477,521,609.68/207,516.82
  6. Step 6: Final answer
    x = 161,324.38

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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.