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Finding the Fourth Proportional to 273,876.80, 410,815.20 and 96,411.20

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Solution

The fourth proportional to 273,876.80, 410,815.20 and 96,411.20 is: 144,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,876.80 : 410,815.20 = 96,411.20 : x
  2. Step 2: Convert to fraction form
    273,876.80/410,815.20 = 96,411.20/x
  3. Step 3: Cross multiply
    273,876.80x = 410,815.20 × 96,411.20
  4. Step 4: Simplify right side
    273,876.80x = 39,607,186,410.24
  5. Step 5: Solve for x
    x = 39,607,186,410.24/273,876.80
  6. Step 6: Final answer
    x = 144,616.80

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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.