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Finding the Fourth Proportional to 227,315.10, 340,972.65 and 185,324.70

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Solution

The fourth proportional to 227,315.10, 340,972.65 and 185,324.70 is: 277,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,315.10 : 340,972.65 = 185,324.70 : x
  2. Step 2: Convert to fraction form
    227,315.10/340,972.65 = 185,324.70/x
  3. Step 3: Cross multiply
    227,315.10x = 340,972.65 × 185,324.70
  4. Step 4: Simplify right side
    227,315.10x = 63,190,654,069.46
  5. Step 5: Solve for x
    x = 63,190,654,069.46/227,315.10
  6. Step 6: Final answer
    x = 277,987.05

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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.