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Finding the Fourth Proportional to 159,098.80, 238,647.12 and 53,991.76

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Solution

The fourth proportional to 159,098.80, 238,647.12 and 53,991.76 is: 80,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,098.80 : 238,647.12 = 53,991.76 : x
  2. Step 2: Convert to fraction form
    159,098.80/238,647.12 = 53,991.76/x
  3. Step 3: Cross multiply
    159,098.80x = 238,647.12 × 53,991.76
  4. Step 4: Simplify right side
    159,098.80x = 12,884,978,027.73
  5. Step 5: Solve for x
    x = 12,884,978,027.73/159,098.80
  6. Step 6: Final answer
    x = 80,987.27

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1.5x scale

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.