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Finding the Fourth Proportional to 133,678.30, 200,517.45 and 115,246.30

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Solution

The fourth proportional to 133,678.30, 200,517.45 and 115,246.30 is: 172,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,678.30 : 200,517.45 = 115,246.30 : x
  2. Step 2: Convert to fraction form
    133,678.30/200,517.45 = 115,246.30/x
  3. Step 3: Cross multiply
    133,678.30x = 200,517.45 × 115,246.30
  4. Step 4: Simplify right side
    133,678.30x = 23,108,894,197.94
  5. Step 5: Solve for x
    x = 23,108,894,197.94/133,678.30
  6. Step 6: Final answer
    x = 172,869.45

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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.