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Finding the Fourth Proportional to 273,516.62, 410,458.14 and 96,024.15

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Solution

The fourth proportional to 273,516.62, 410,458.14 and 96,024.15 is: 144,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,516.62 : 410,458.14 = 96,024.15 : x
  2. Step 2: Convert to fraction form
    273,516.62/410,458.14 = 96,024.15/x
  3. Step 3: Cross multiply
    273,516.62x = 410,458.14 × 96,024.15
  4. Step 4: Simplify right side
    273,516.62x = 39,413,894,004.08
  5. Step 5: Solve for x
    x = 39,413,894,004.08/273,516.62
  6. Step 6: Final answer
    x = 144,100.55

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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.