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Finding the Fourth Proportional to 226,812.38, 312,947.66 and 190,651.28

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Solution

The fourth proportional to 226,812.38, 312,947.66 and 190,651.28 is: 263,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,812.38 : 312,947.66 = 190,651.28 : x
  2. Step 2: Convert to fraction form
    226,812.38/312,947.66 = 190,651.28/x
  3. Step 3: Cross multiply
    226,812.38x = 312,947.66 × 190,651.28
  4. Step 4: Simplify right side
    226,812.38x = 59,663,871,952.00
  5. Step 5: Solve for x
    x = 59,663,871,952.00/226,812.38
  6. Step 6: Final answer
    x = 263,053.86

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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.