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Finding the Fourth Proportional to 177,314.70, 265,972.05 and 110,829.90

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Solution

The fourth proportional to 177,314.70, 265,972.05 and 110,829.90 is: 166,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,314.70 : 265,972.05 = 110,829.90 : x
  2. Step 2: Convert to fraction form
    177,314.70/265,972.05 = 110,829.90/x
  3. Step 3: Cross multiply
    177,314.70x = 265,972.05 × 110,829.90
  4. Step 4: Simplify right side
    177,314.70x = 29,477,655,704.30
  5. Step 5: Solve for x
    x = 29,477,655,704.30/177,314.70
  6. Step 6: Final answer
    x = 166,244.85

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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.