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Finding the Fourth Proportional to 177,187.78, 265,815.87 and 57,277

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Solution

The fourth proportional to 177,187.78, 265,815.87 and 57,277 is: 85,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,187.78 : 265,815.87 = 57,277 : x
  2. Step 2: Convert to fraction form
    177,187.78/265,815.87 = 57,277/x
  3. Step 3: Cross multiply
    177,187.78x = 265,815.87 × 57,277
  4. Step 4: Simplify right side
    177,187.78x = 15,225,135,585.99
  5. Step 5: Solve for x
    x = 15,225,135,585.99/177,187.78
  6. Step 6: Final answer
    x = 85,926.56

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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.