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Finding the Fourth Proportional to 227,265.80, 340,898.70 and 164,280.20

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Solution

The fourth proportional to 227,265.80, 340,898.70 and 164,280.20 is: 246,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,265.80 : 340,898.70 = 164,280.20 : x
  2. Step 2: Convert to fraction form
    227,265.80/340,898.70 = 164,280.20/x
  3. Step 3: Cross multiply
    227,265.80x = 340,898.70 × 164,280.20
  4. Step 4: Simplify right side
    227,265.80x = 56,002,906,615.74
  5. Step 5: Solve for x
    x = 56,002,906,615.74/227,265.80
  6. Step 6: Final answer
    x = 246,420.30

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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.