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Finding the Fourth Proportional to 226,819.65, 340,215.80 and 100,422.93

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Solution

The fourth proportional to 226,819.65, 340,215.80 and 100,422.93 is: 150,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,819.65 : 340,215.80 = 100,422.93 : x
  2. Step 2: Convert to fraction form
    226,819.65/340,215.80 = 100,422.93/x
  3. Step 3: Cross multiply
    226,819.65x = 340,215.80 × 100,422.93
  4. Step 4: Simplify right side
    226,819.65x = 34,165,466,966.18
  5. Step 5: Solve for x
    x = 34,165,466,966.18/226,819.65
  6. Step 6: Final answer
    x = 150,628.34

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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.