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Finding the Fourth Proportional to 204,803.10, 307,175.49 and 64,543.50

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Solution

The fourth proportional to 204,803.10, 307,175.49 and 64,543.50 is: 96,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,803.10 : 307,175.49 = 64,543.50 : x
  2. Step 2: Convert to fraction form
    204,803.10/307,175.49 = 64,543.50/x
  3. Step 3: Cross multiply
    204,803.10x = 307,175.49 × 64,543.50
  4. Step 4: Simplify right side
    204,803.10x = 19,826,181,238.82
  5. Step 5: Solve for x
    x = 19,826,181,238.82/204,803.10
  6. Step 6: Final answer
    x = 96,806.06

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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.