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Finding the Fourth Proportional to 226,238.40, 312,174.18 and 130,726.62

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Solution

The fourth proportional to 226,238.40, 312,174.18 and 130,726.62 is: 180,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,238.40 : 312,174.18 = 130,726.62 : x
  2. Step 2: Convert to fraction form
    226,238.40/312,174.18 = 130,726.62/x
  3. Step 3: Cross multiply
    226,238.40x = 312,174.18 × 130,726.62
  4. Step 4: Simplify right side
    226,238.40x = 40,809,475,402.67
  5. Step 5: Solve for x
    x = 40,809,475,402.67/226,238.40
  6. Step 6: Final answer
    x = 180,382.62

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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.