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Finding the Fourth Proportional to 296,131, 408,670.53 and 161,995

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Solution

The fourth proportional to 296,131, 408,670.53 and 161,995 is: 223,558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,131 : 408,670.53 = 161,995 : x
  2. Step 2: Convert to fraction form
    296,131/408,670.53 = 161,995/x
  3. Step 3: Cross multiply
    296,131x = 408,670.53 × 161,995
  4. Step 4: Simplify right side
    296,131x = 66,202,582,507.35
  5. Step 5: Solve for x
    x = 66,202,582,507.35/296,131
  6. Step 6: Final answer
    x = 223,558.43

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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.