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Finding the Fourth Proportional to 226,866.80, 340,429.80 and 156,796.40

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Solution

The fourth proportional to 226,866.80, 340,429.80 and 156,796.40 is: 235,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,866.80 : 340,429.80 = 156,796.40 : x
  2. Step 2: Convert to fraction form
    226,866.80/340,429.80 = 156,796.40/x
  3. Step 3: Cross multiply
    226,866.80x = 340,429.80 × 156,796.40
  4. Step 4: Simplify right side
    226,866.80x = 53,378,167,092.72
  5. Step 5: Solve for x
    x = 53,378,167,092.72/226,866.80
  6. Step 6: Final answer
    x = 235,284.17

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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.