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Finding the Fourth Proportional to 227,077.16, 313,362.42 and 126,473

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Solution

The fourth proportional to 227,077.16, 313,362.42 and 126,473 is: 174,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,077.16 : 313,362.42 = 126,473 : x
  2. Step 2: Convert to fraction form
    227,077.16/313,362.42 = 126,473/x
  3. Step 3: Cross multiply
    227,077.16x = 313,362.42 × 126,473
  4. Step 4: Simplify right side
    227,077.16x = 39,631,885,344.66
  5. Step 5: Solve for x
    x = 39,631,885,344.66/227,077.16
  6. Step 6: Final answer
    x = 174,530.48

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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.