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Finding the Fourth Proportional to 537,071.31, 805,605.75 and 200,104.43

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Solution

The fourth proportional to 537,071.31, 805,605.75 and 200,104.43 is: 300,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,071.31 : 805,605.75 = 200,104.43 : x
  2. Step 2: Convert to fraction form
    537,071.31/805,605.75 = 200,104.43/x
  3. Step 3: Cross multiply
    537,071.31x = 805,605.75 × 200,104.43
  4. Step 4: Simplify right side
    537,071.31x = 161,205,275,380.44
  5. Step 5: Solve for x
    x = 161,205,275,380.44/537,071.31
  6. Step 6: Final answer
    x = 300,156.18

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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.