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Finding the Fourth Proportional to 226,893.80, 340,340.70 and 163,908.20

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Solution

The fourth proportional to 226,893.80, 340,340.70 and 163,908.20 is: 245,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,893.80 : 340,340.70 = 163,908.20 : x
  2. Step 2: Convert to fraction form
    226,893.80/340,340.70 = 163,908.20/x
  3. Step 3: Cross multiply
    226,893.80x = 340,340.70 × 163,908.20
  4. Step 4: Simplify right side
    226,893.80x = 55,784,631,523.74
  5. Step 5: Solve for x
    x = 55,784,631,523.74/226,893.80
  6. Step 6: Final answer
    x = 245,862.30

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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.