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Finding the Fourth Proportional to 203,083.30, 304,408.95 and 97,833.70

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Solution

The fourth proportional to 203,083.30, 304,408.95 and 97,833.70 is: 146,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,083.30 : 304,408.95 = 97,833.70 : x
  2. Step 2: Convert to fraction form
    203,083.30/304,408.95 = 97,833.70/x
  3. Step 3: Cross multiply
    203,083.30x = 304,408.95 × 97,833.70
  4. Step 4: Simplify right side
    203,083.30x = 29,781,453,891.62
  5. Step 5: Solve for x
    x = 29,781,453,891.62/203,083.30
  6. Step 6: Final answer
    x = 146,646.49

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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.