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Finding the Fourth Proportional to 177,956.56, 267,009.24 and 78,065.20

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Solution

The fourth proportional to 177,956.56, 267,009.24 and 78,065.20 is: 117,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,956.56 : 267,009.24 = 78,065.20 : x
  2. Step 2: Convert to fraction form
    177,956.56/267,009.24 = 78,065.20/x
  3. Step 3: Cross multiply
    177,956.56x = 267,009.24 × 78,065.20
  4. Step 4: Simplify right side
    177,956.56x = 20,844,129,722.45
  5. Step 5: Solve for x
    x = 20,844,129,722.45/177,956.56
  6. Step 6: Final answer
    x = 117,130.44

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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.