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Finding the Fourth Proportional to 177,138.14, 265,770.58 and 75,893.66

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Solution

The fourth proportional to 177,138.14, 265,770.58 and 75,893.66 is: 113,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,138.14 : 265,770.58 = 75,893.66 : x
  2. Step 2: Convert to fraction form
    177,138.14/265,770.58 = 75,893.66/x
  3. Step 3: Cross multiply
    177,138.14x = 265,770.58 × 75,893.66
  4. Step 4: Simplify right side
    177,138.14x = 20,170,302,036.52
  5. Step 5: Solve for x
    x = 20,170,302,036.52/177,138.14
  6. Step 6: Final answer
    x = 113,867.64

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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.