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Finding the Fourth Proportional to 204,501.94, 306,794.38 and 86,173.22

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Solution

The fourth proportional to 204,501.94, 306,794.38 and 86,173.22 is: 129,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,501.94 : 306,794.38 = 86,173.22 : x
  2. Step 2: Convert to fraction form
    204,501.94/306,794.38 = 86,173.22/x
  3. Step 3: Cross multiply
    204,501.94x = 306,794.38 × 86,173.22
  4. Step 4: Simplify right side
    204,501.94x = 26,437,459,602.50
  5. Step 5: Solve for x
    x = 26,437,459,602.50/204,501.94
  6. Step 6: Final answer
    x = 129,277.30

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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.