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Finding the Fourth Proportional to 273,563.58, 410,440.14 and 96,095.82

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Solution

The fourth proportional to 273,563.58, 410,440.14 and 96,095.82 is: 144,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,563.58 : 410,440.14 = 96,095.82 : x
  2. Step 2: Convert to fraction form
    273,563.58/410,440.14 = 96,095.82/x
  3. Step 3: Cross multiply
    273,563.58x = 410,440.14 × 96,095.82
  4. Step 4: Simplify right side
    273,563.58x = 39,441,581,814.21
  5. Step 5: Solve for x
    x = 39,441,581,814.21/273,563.58
  6. Step 6: Final answer
    x = 144,177.02

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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.