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Finding the Fourth Proportional to 206,926.26, 310,221.90 and 64,698.30

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Solution

The fourth proportional to 206,926.26, 310,221.90 and 64,698.30 is: 96,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,926.26 : 310,221.90 = 64,698.30 : x
  2. Step 2: Convert to fraction form
    206,926.26/310,221.90 = 64,698.30/x
  3. Step 3: Cross multiply
    206,926.26x = 310,221.90 × 64,698.30
  4. Step 4: Simplify right side
    206,926.26x = 20,070,829,552.77
  5. Step 5: Solve for x
    x = 20,070,829,552.77/206,926.26
  6. Step 6: Final answer
    x = 96,995.08

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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.