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Finding the Fourth Proportional to 273,622.80, 410,475.24 and 96,098.52

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Solution

The fourth proportional to 273,622.80, 410,475.24 and 96,098.52 is: 144,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,622.80 : 410,475.24 = 96,098.52 : x
  2. Step 2: Convert to fraction form
    273,622.80/410,475.24 = 96,098.52/x
  3. Step 3: Cross multiply
    273,622.80x = 410,475.24 × 96,098.52
  4. Step 4: Simplify right side
    273,622.80x = 39,446,063,060.64
  5. Step 5: Solve for x
    x = 39,446,063,060.64/273,622.80
  6. Step 6: Final answer
    x = 144,162.19

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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.