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Finding the Fourth Proportional to 159,706, 220,480.68 and 96,058

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Solution

The fourth proportional to 159,706, 220,480.68 and 96,058 is: 132,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,706 : 220,480.68 = 96,058 : x
  2. Step 2: Convert to fraction form
    159,706/220,480.68 = 96,058/x
  3. Step 3: Cross multiply
    159,706x = 220,480.68 × 96,058
  4. Step 4: Simplify right side
    159,706x = 21,178,933,159.44
  5. Step 5: Solve for x
    x = 21,178,933,159.44/159,706
  6. Step 6: Final answer
    x = 132,612.01

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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.