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Finding the Fourth Proportional to 206,262.86, 309,394.52 and 56,504.44

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Solution

The fourth proportional to 206,262.86, 309,394.52 and 56,504.44 is: 84,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,262.86 : 309,394.52 = 56,504.44 : x
  2. Step 2: Convert to fraction form
    206,262.86/309,394.52 = 56,504.44/x
  3. Step 3: Cross multiply
    206,262.86x = 309,394.52 × 56,504.44
  4. Step 4: Simplify right side
    206,262.86x = 17,482,164,091.67
  5. Step 5: Solve for x
    x = 17,482,164,091.67/206,262.86
  6. Step 6: Final answer
    x = 84,756.72

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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.