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Finding the Fourth Proportional to 273,411.36, 410,177.76 and 83,898

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Solution

The fourth proportional to 273,411.36, 410,177.76 and 83,898 is: 125,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,411.36 : 410,177.76 = 83,898 : x
  2. Step 2: Convert to fraction form
    273,411.36/410,177.76 = 83,898/x
  3. Step 3: Cross multiply
    273,411.36x = 410,177.76 × 83,898
  4. Step 4: Simplify right side
    273,411.36x = 34,413,093,708.48
  5. Step 5: Solve for x
    x = 34,413,093,708.48/273,411.36
  6. Step 6: Final answer
    x = 125,865.63

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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.