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Finding the Fourth Proportional to 206,764.29, 310,189.48 and 64,603.82

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Solution

The fourth proportional to 206,764.29, 310,189.48 and 64,603.82 is: 96,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,764.29 : 310,189.48 = 64,603.82 : x
  2. Step 2: Convert to fraction form
    206,764.29/310,189.48 = 64,603.82/x
  3. Step 3: Cross multiply
    206,764.29x = 310,189.48 × 64,603.82
  4. Step 4: Simplify right side
    206,764.29x = 20,039,425,008.79
  5. Step 5: Solve for x
    x = 20,039,425,008.79/206,764.29
  6. Step 6: Final answer
    x = 96,919.18

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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.