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Finding the Fourth Proportional to 227,389.62, 313,826.76 and 189,083.28

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Solution

The fourth proportional to 227,389.62, 313,826.76 and 189,083.28 is: 260,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,389.62 : 313,826.76 = 189,083.28 : x
  2. Step 2: Convert to fraction form
    227,389.62/313,826.76 = 189,083.28/x
  3. Step 3: Cross multiply
    227,389.62x = 313,826.76 × 189,083.28
  4. Step 4: Simplify right side
    227,389.62x = 59,339,393,132.57
  5. Step 5: Solve for x
    x = 59,339,393,132.57/227,389.62
  6. Step 6: Final answer
    x = 260,959.11

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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.