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Finding the Fourth Proportional to 273,603.43, 410,468.37 and 86,614.93

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Solution

The fourth proportional to 273,603.43, 410,468.37 and 86,614.93 is: 129,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,603.43 : 410,468.37 = 86,614.93 : x
  2. Step 2: Convert to fraction form
    273,603.43/410,468.37 = 86,614.93/x
  3. Step 3: Cross multiply
    273,603.43x = 410,468.37 × 86,614.93
  4. Step 4: Simplify right side
    273,603.43x = 35,552,689,134.76
  5. Step 5: Solve for x
    x = 35,552,689,134.76/273,603.43
  6. Step 6: Final answer
    x = 129,942.41

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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.