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Finding the Fourth Proportional to 206,567.52, 309,818.88 and 56,819.04

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Solution

The fourth proportional to 206,567.52, 309,818.88 and 56,819.04 is: 85,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,567.52 : 309,818.88 = 56,819.04 : x
  2. Step 2: Convert to fraction form
    206,567.52/309,818.88 = 56,819.04/x
  3. Step 3: Cross multiply
    206,567.52x = 309,818.88 × 56,819.04
  4. Step 4: Simplify right side
    206,567.52x = 17,603,611,335.48
  5. Step 5: Solve for x
    x = 17,603,611,335.48/206,567.52
  6. Step 6: Final answer
    x = 85,219.65

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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.