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Finding the Fourth Proportional to 365,465.70, 548,236.15 and 137,952.96

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Solution

The fourth proportional to 365,465.70, 548,236.15 and 137,952.96 is: 206,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,465.70 : 548,236.15 = 137,952.96 : x
  2. Step 2: Convert to fraction form
    365,465.70/548,236.15 = 137,952.96/x
  3. Step 3: Cross multiply
    365,465.70x = 548,236.15 × 137,952.96
  4. Step 4: Simplify right side
    365,465.70x = 75,630,798,046.72
  5. Step 5: Solve for x
    x = 75,630,798,046.72/365,465.70
  6. Step 6: Final answer
    x = 206,943.63

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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.