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Finding the Fourth Proportional to 243,067.65, 364,637.94 and 85,268.31

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Solution

The fourth proportional to 243,067.65, 364,637.94 and 85,268.31 is: 127,915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,067.65 : 364,637.94 = 85,268.31 : x
  2. Step 2: Convert to fraction form
    243,067.65/364,637.94 = 85,268.31/x
  3. Step 3: Cross multiply
    243,067.65x = 364,637.94 × 85,268.31
  4. Step 4: Simplify right side
    243,067.65x = 31,092,060,905.68
  5. Step 5: Solve for x
    x = 31,092,060,905.68/243,067.65
  6. Step 6: Final answer
    x = 127,915.26

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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.