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Finding the Fourth Proportional to 227,160, 313,476.54 and 125,194.88

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Solution

The fourth proportional to 227,160, 313,476.54 and 125,194.88 is: 172,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,160 : 313,476.54 = 125,194.88 : x
  2. Step 2: Convert to fraction form
    227,160/313,476.54 = 125,194.88/x
  3. Step 3: Cross multiply
    227,160x = 313,476.54 × 125,194.88
  4. Step 4: Simplify right side
    227,160x = 39,245,657,808.12
  5. Step 5: Solve for x
    x = 39,245,657,808.12/227,160
  6. Step 6: Final answer
    x = 172,766.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.