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Finding the Fourth Proportional to 227,240, 313,263.28 and 159,045.92

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Solution

The fourth proportional to 227,240, 313,263.28 and 159,045.92 is: 219,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,240 : 313,263.28 = 159,045.92 : x
  2. Step 2: Convert to fraction form
    227,240/313,263.28 = 159,045.92/x
  3. Step 3: Cross multiply
    227,240x = 313,263.28 × 159,045.92
  4. Step 4: Simplify right side
    227,240x = 49,823,246,569.82
  5. Step 5: Solve for x
    x = 49,823,246,569.82/227,240
  6. Step 6: Final answer
    x = 219,253.86

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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.