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Finding the Fourth Proportional to 169,471.92, 233,871.16 and 92,991.48

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Solution

The fourth proportional to 169,471.92, 233,871.16 and 92,991.48 is: 128,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,471.92 : 233,871.16 = 92,991.48 : x
  2. Step 2: Convert to fraction form
    169,471.92/233,871.16 = 92,991.48/x
  3. Step 3: Cross multiply
    169,471.92x = 233,871.16 × 92,991.48
  4. Step 4: Simplify right side
    169,471.92x = 21,748,025,297.72
  5. Step 5: Solve for x
    x = 21,748,025,297.72/169,471.92
  6. Step 6: Final answer
    x = 128,328.19

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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.