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Finding the Fourth Proportional to 203,538.68, 305,191.22 and 77,098.28

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Solution

The fourth proportional to 203,538.68, 305,191.22 and 77,098.28 is: 115,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,538.68 : 305,191.22 = 77,098.28 : x
  2. Step 2: Convert to fraction form
    203,538.68/305,191.22 = 77,098.28/x
  3. Step 3: Cross multiply
    203,538.68x = 305,191.22 × 77,098.28
  4. Step 4: Simplify right side
    203,538.68x = 23,529,718,510.59
  5. Step 5: Solve for x
    x = 23,529,718,510.59/203,538.68
  6. Step 6: Final answer
    x = 115,603.18

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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.