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Finding the Fourth Proportional to 227,752.80, 341,726.40 and 109,363.20

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Solution

The fourth proportional to 227,752.80, 341,726.40 and 109,363.20 is: 164,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,752.80 : 341,726.40 = 109,363.20 : x
  2. Step 2: Convert to fraction form
    227,752.80/341,726.40 = 109,363.20/x
  3. Step 3: Cross multiply
    227,752.80x = 341,726.40 × 109,363.20
  4. Step 4: Simplify right side
    227,752.80x = 37,372,292,628.48
  5. Step 5: Solve for x
    x = 37,372,292,628.48/227,752.80
  6. Step 6: Final answer
    x = 164,091.47

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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.