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Finding the Fourth Proportional to 159,546.60, 239,028.30 and 97,144.20

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Solution

The fourth proportional to 159,546.60, 239,028.30 and 97,144.20 is: 145,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,546.60 : 239,028.30 = 97,144.20 : x
  2. Step 2: Convert to fraction form
    159,546.60/239,028.30 = 97,144.20/x
  3. Step 3: Cross multiply
    159,546.60x = 239,028.30 × 97,144.20
  4. Step 4: Simplify right side
    159,546.60x = 23,220,212,980.86
  5. Step 5: Solve for x
    x = 23,220,212,980.86/159,546.60
  6. Step 6: Final answer
    x = 145,538.75

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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.