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Finding the Fourth Proportional to 203,451.19, 305,193.39 and 102,197.16

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Solution

The fourth proportional to 203,451.19, 305,193.39 and 102,197.16 is: 153,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,451.19 : 305,193.39 = 102,197.16 : x
  2. Step 2: Convert to fraction form
    203,451.19/305,193.39 = 102,197.16/x
  3. Step 3: Cross multiply
    203,451.19x = 305,193.39 × 102,197.16
  4. Step 4: Simplify right side
    203,451.19x = 31,189,897,325.53
  5. Step 5: Solve for x
    x = 31,189,897,325.53/203,451.19
  6. Step 6: Final answer
    x = 153,304.08

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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.