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Finding the Fourth Proportional to 273,609.09, 410,454.54 and 96,084.77

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Solution

The fourth proportional to 273,609.09, 410,454.54 and 96,084.77 is: 144,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,609.09 : 410,454.54 = 96,084.77 : x
  2. Step 2: Convert to fraction form
    273,609.09/410,454.54 = 96,084.77/x
  3. Step 3: Cross multiply
    273,609.09x = 410,454.54 × 96,084.77
  4. Step 4: Simplify right side
    273,609.09x = 39,438,428,019.08
  5. Step 5: Solve for x
    x = 39,438,428,019.08/273,609.09
  6. Step 6: Final answer
    x = 144,141.51

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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.