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Finding the Fourth Proportional to 561,185.31, 841,902.34 and 161,794.92

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Solution

The fourth proportional to 561,185.31, 841,902.34 and 161,794.92 is: 242,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,185.31 : 841,902.34 = 161,794.92 : x
  2. Step 2: Convert to fraction form
    561,185.31/841,902.34 = 161,794.92/x
  3. Step 3: Cross multiply
    561,185.31x = 841,902.34 × 161,794.92
  4. Step 4: Simplify right side
    561,185.31x = 136,215,517,943.09
  5. Step 5: Solve for x
    x = 136,215,517,943.09/561,185.31
  6. Step 6: Final answer
    x = 242,728.23

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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.