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Finding the Fourth Proportional to 243,064.65, 364,633.44 and 85,265.31

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Solution

The fourth proportional to 243,064.65, 364,633.44 and 85,265.31 is: 127,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,064.65 : 364,633.44 = 85,265.31 : x
  2. Step 2: Convert to fraction form
    243,064.65/364,633.44 = 85,265.31/x
  3. Step 3: Cross multiply
    243,064.65x = 364,633.44 × 85,265.31
  4. Step 4: Simplify right side
    243,064.65x = 31,090,583,297.97
  5. Step 5: Solve for x
    x = 31,090,583,297.97/243,064.65
  6. Step 6: Final answer
    x = 127,910.76

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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.