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Finding the Fourth Proportional to 159,213.60, 239,014.80 and 158,047.20

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Solution

The fourth proportional to 159,213.60, 239,014.80 and 158,047.20 is: 237,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,213.60 : 239,014.80 = 158,047.20 : x
  2. Step 2: Convert to fraction form
    159,213.60/239,014.80 = 158,047.20/x
  3. Step 3: Cross multiply
    159,213.60x = 239,014.80 × 158,047.20
  4. Step 4: Simplify right side
    159,213.60x = 37,775,619,898.56
  5. Step 5: Solve for x
    x = 37,775,619,898.56/159,213.60
  6. Step 6: Final answer
    x = 237,263.78

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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.