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Finding the Fourth Proportional to 227,209.40, 340,810.90 and 102,550.20

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Solution

The fourth proportional to 227,209.40, 340,810.90 and 102,550.20 is: 153,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,209.40 : 340,810.90 = 102,550.20 : x
  2. Step 2: Convert to fraction form
    227,209.40/340,810.90 = 102,550.20/x
  3. Step 3: Cross multiply
    227,209.40x = 340,810.90 × 102,550.20
  4. Step 4: Simplify right side
    227,209.40x = 34,950,225,957.18
  5. Step 5: Solve for x
    x = 34,950,225,957.18/227,209.40
  6. Step 6: Final answer
    x = 153,823.86

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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.