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Finding the Fourth Proportional to 159,833.28, 220,474.10 and 116,760.08

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Solution

The fourth proportional to 159,833.28, 220,474.10 and 116,760.08 is: 161,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,833.28 : 220,474.10 = 116,760.08 : x
  2. Step 2: Convert to fraction form
    159,833.28/220,474.10 = 116,760.08/x
  3. Step 3: Cross multiply
    159,833.28x = 220,474.10 × 116,760.08
  4. Step 4: Simplify right side
    159,833.28x = 25,742,574,397.01
  5. Step 5: Solve for x
    x = 25,742,574,397.01/159,833.28
  6. Step 6: Final answer
    x = 161,058.91

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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.