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Finding the Fourth Proportional to 221,542.38, 305,605.38 and 145,184.64

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Solution

The fourth proportional to 221,542.38, 305,605.38 and 145,184.64 is: 200,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,542.38 : 305,605.38 = 145,184.64 : x
  2. Step 2: Convert to fraction form
    221,542.38/305,605.38 = 145,184.64/x
  3. Step 3: Cross multiply
    221,542.38x = 305,605.38 × 145,184.64
  4. Step 4: Simplify right side
    221,542.38x = 44,369,207,077.36
  5. Step 5: Solve for x
    x = 44,369,207,077.36/221,542.38
  6. Step 6: Final answer
    x = 200,274.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.