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Finding the Fourth Proportional to 227,750.74, 340,963.13 and 119,423.23

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Solution

The fourth proportional to 227,750.74, 340,963.13 and 119,423.23 is: 178,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,750.74 : 340,963.13 = 119,423.23 : x
  2. Step 2: Convert to fraction form
    227,750.74/340,963.13 = 119,423.23/x
  3. Step 3: Cross multiply
    227,750.74x = 340,963.13 × 119,423.23
  4. Step 4: Simplify right side
    227,750.74x = 40,718,917,405.78
  5. Step 5: Solve for x
    x = 40,718,917,405.78/227,750.74
  6. Step 6: Final answer
    x = 178,787.20

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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.