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Finding the Fourth Proportional to 206,261.25, 309,392.14 and 56,502.85

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Solution

The fourth proportional to 206,261.25, 309,392.14 and 56,502.85 is: 84,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,261.25 : 309,392.14 = 56,502.85 : x
  2. Step 2: Convert to fraction form
    206,261.25/309,392.14 = 56,502.85/x
  3. Step 3: Cross multiply
    206,261.25x = 309,392.14 × 56,502.85
  4. Step 4: Simplify right side
    206,261.25x = 17,481,537,448.91
  5. Step 5: Solve for x
    x = 17,481,537,448.91/206,261.25
  6. Step 6: Final answer
    x = 84,754.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.