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Finding the Fourth Proportional to 204,755.96, 307,060.50 and 78,431.72

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Solution

The fourth proportional to 204,755.96, 307,060.50 and 78,431.72 is: 117,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,755.96 : 307,060.50 = 78,431.72 : x
  2. Step 2: Convert to fraction form
    204,755.96/307,060.50 = 78,431.72/x
  3. Step 3: Cross multiply
    204,755.96x = 307,060.50 × 78,431.72
  4. Step 4: Simplify right side
    204,755.96x = 24,083,283,159.06
  5. Step 5: Solve for x
    x = 24,083,283,159.06/204,755.96
  6. Step 6: Final answer
    x = 117,619.45

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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.