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Finding the Fourth Proportional to 307,745.56, 461,678.10 and 118,192

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Solution

The fourth proportional to 307,745.56, 461,678.10 and 118,192 is: 177,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,745.56 : 461,678.10 = 118,192 : x
  2. Step 2: Convert to fraction form
    307,745.56/461,678.10 = 118,192/x
  3. Step 3: Cross multiply
    307,745.56x = 461,678.10 × 118,192
  4. Step 4: Simplify right side
    307,745.56x = 54,566,657,995.20
  5. Step 5: Solve for x
    x = 54,566,657,995.20/307,745.56
  6. Step 6: Final answer
    x = 177,310.95

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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.