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Finding the Fourth Proportional to 148,141.86, 204,403.14 and 87,682.38

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Solution

The fourth proportional to 148,141.86, 204,403.14 and 87,682.38 is: 120,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,141.86 : 204,403.14 = 87,682.38 : x
  2. Step 2: Convert to fraction form
    148,141.86/204,403.14 = 87,682.38/x
  3. Step 3: Cross multiply
    148,141.86x = 204,403.14 × 87,682.38
  4. Step 4: Simplify right side
    148,141.86x = 17,922,553,794.67
  5. Step 5: Solve for x
    x = 17,922,553,794.67/148,141.86
  6. Step 6: Final answer
    x = 120,982.37

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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.