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Finding the Fourth Proportional to 273,601.71, 410,443.70 and 96,077.48

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Solution

The fourth proportional to 273,601.71, 410,443.70 and 96,077.48 is: 144,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,601.71 : 410,443.70 = 96,077.48 : x
  2. Step 2: Convert to fraction form
    273,601.71/410,443.70 = 96,077.48/x
  3. Step 3: Cross multiply
    273,601.71x = 410,443.70 × 96,077.48
  4. Step 4: Simplify right side
    273,601.71x = 39,434,393,845.27
  5. Step 5: Solve for x
    x = 39,434,393,845.27/273,601.71
  6. Step 6: Final answer
    x = 144,130.66

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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.