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Finding the Fourth Proportional to 227,462.92, 313,566.50 and 159,264.92

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Solution

The fourth proportional to 227,462.92, 313,566.50 and 159,264.92 is: 219,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,462.92 : 313,566.50 = 159,264.92 : x
  2. Step 2: Convert to fraction form
    227,462.92/313,566.50 = 159,264.92/x
  3. Step 3: Cross multiply
    227,462.92x = 313,566.50 × 159,264.92
  4. Step 4: Simplify right side
    227,462.92x = 49,940,143,537.18
  5. Step 5: Solve for x
    x = 49,940,143,537.18/227,462.92
  6. Step 6: Final answer
    x = 219,552.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.