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Finding the Fourth Proportional to 204,447.51, 306,720.45 and 86,152.68

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Solution

The fourth proportional to 204,447.51, 306,720.45 and 86,152.68 is: 129,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,447.51 : 306,720.45 = 86,152.68 : x
  2. Step 2: Convert to fraction form
    204,447.51/306,720.45 = 86,152.68/x
  3. Step 3: Cross multiply
    204,447.51x = 306,720.45 × 86,152.68
  4. Step 4: Simplify right side
    204,447.51x = 26,424,788,778.31
  5. Step 5: Solve for x
    x = 26,424,788,778.31/204,447.51
  6. Step 6: Final answer
    x = 129,249.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.