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Finding the Fourth Proportional to 206,790.86, 310,016.76 and 73,595.27

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Solution

The fourth proportional to 206,790.86, 310,016.76 and 73,595.27 is: 110,332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,790.86 : 310,016.76 = 73,595.27 : x
  2. Step 2: Convert to fraction form
    206,790.86/310,016.76 = 73,595.27/x
  3. Step 3: Cross multiply
    206,790.86x = 310,016.76 × 73,595.27
  4. Step 4: Simplify right side
    206,790.86x = 22,815,767,156.73
  5. Step 5: Solve for x
    x = 22,815,767,156.73/206,790.86
  6. Step 6: Final answer
    x = 110,332.57

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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.