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Finding the Fourth Proportional to 159,739.80, 239,148.90 and 97,531.80

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Solution

The fourth proportional to 159,739.80, 239,148.90 and 97,531.80 is: 146,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,739.80 : 239,148.90 = 97,531.80 : x
  2. Step 2: Convert to fraction form
    159,739.80/239,148.90 = 97,531.80/x
  3. Step 3: Cross multiply
    159,739.80x = 239,148.90 × 97,531.80
  4. Step 4: Simplify right side
    159,739.80x = 23,324,622,685.02
  5. Step 5: Solve for x
    x = 23,324,622,685.02/159,739.80
  6. Step 6: Final answer
    x = 146,016.35

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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.