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Finding the Fourth Proportional to 273,819.65, 410,876.52 and 114,005.91

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Solution

The fourth proportional to 273,819.65, 410,876.52 and 114,005.91 is: 171,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,819.65 : 410,876.52 = 114,005.91 : x
  2. Step 2: Convert to fraction form
    273,819.65/410,876.52 = 114,005.91/x
  3. Step 3: Cross multiply
    273,819.65x = 410,876.52 × 114,005.91
  4. Step 4: Simplify right side
    273,819.65x = 46,842,351,560.23
  5. Step 5: Solve for x
    x = 46,842,351,560.23/273,819.65
  6. Step 6: Final answer
    x = 171,070.09

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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.