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Finding the Fourth Proportional to 206,913, 310,369.50 and 59,180.52

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Solution

The fourth proportional to 206,913, 310,369.50 and 59,180.52 is: 88,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,913 : 310,369.50 = 59,180.52 : x
  2. Step 2: Convert to fraction form
    206,913/310,369.50 = 59,180.52/x
  3. Step 3: Cross multiply
    206,913x = 310,369.50 × 59,180.52
  4. Step 4: Simplify right side
    206,913x = 18,367,828,402.14
  5. Step 5: Solve for x
    x = 18,367,828,402.14/206,913
  6. Step 6: Final answer
    x = 88,770.78

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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.