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Finding the Fourth Proportional to 273,516.78, 410,458.44 and 96,024.32

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Solution

The fourth proportional to 273,516.78, 410,458.44 and 96,024.32 is: 144,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,516.78 : 410,458.44 = 96,024.32 : x
  2. Step 2: Convert to fraction form
    273,516.78/410,458.44 = 96,024.32/x
  3. Step 3: Cross multiply
    273,516.78x = 410,458.44 × 96,024.32
  4. Step 4: Simplify right side
    273,516.78x = 39,413,992,589.26
  5. Step 5: Solve for x
    x = 39,413,992,589.26/273,516.78
  6. Step 6: Final answer
    x = 144,100.82

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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.