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Finding the Fourth Proportional to 206,264.86, 309,397.52 and 56,506.44

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Solution

The fourth proportional to 206,264.86, 309,397.52 and 56,506.44 is: 84,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,264.86 : 309,397.52 = 56,506.44 : x
  2. Step 2: Convert to fraction form
    206,264.86/309,397.52 = 56,506.44/x
  3. Step 3: Cross multiply
    206,264.86x = 309,397.52 × 56,506.44
  4. Step 4: Simplify right side
    206,264.86x = 17,482,952,400.03
  5. Step 5: Solve for x
    x = 17,482,952,400.03/206,264.86
  6. Step 6: Final answer
    x = 84,759.72

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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.