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Finding the Fourth Proportional to 230,105.90, 317,584.86 and 148,411.19

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Solution

The fourth proportional to 230,105.90, 317,584.86 and 148,411.19 is: 204,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,105.90 : 317,584.86 = 148,411.19 : x
  2. Step 2: Convert to fraction form
    230,105.90/317,584.86 = 148,411.19/x
  3. Step 3: Cross multiply
    230,105.90x = 317,584.86 × 148,411.19
  4. Step 4: Simplify right side
    230,105.90x = 47,133,146,998.58
  5. Step 5: Solve for x
    x = 47,133,146,998.58/230,105.90
  6. Step 6: Final answer
    x = 204,832.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.