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Finding the Fourth Proportional to 295,176.43, 407,348.18 and 161,040.43

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Solution

The fourth proportional to 295,176.43, 407,348.18 and 161,040.43 is: 222,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,176.43 : 407,348.18 = 161,040.43 : x
  2. Step 2: Convert to fraction form
    295,176.43/407,348.18 = 161,040.43/x
  3. Step 3: Cross multiply
    295,176.43x = 407,348.18 × 161,040.43
  4. Step 4: Simplify right side
    295,176.43x = 65,599,526,066.92
  5. Step 5: Solve for x
    x = 65,599,526,066.92/295,176.43
  6. Step 6: Final answer
    x = 222,238.36

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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.