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Finding the Fourth Proportional to 230,385.96, 317,933.01 and 128,409.12

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Solution

The fourth proportional to 230,385.96, 317,933.01 and 128,409.12 is: 177,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,385.96 : 317,933.01 = 128,409.12 : x
  2. Step 2: Convert to fraction form
    230,385.96/317,933.01 = 128,409.12/x
  3. Step 3: Cross multiply
    230,385.96x = 317,933.01 × 128,409.12
  4. Step 4: Simplify right side
    230,385.96x = 40,825,498,033.05
  5. Step 5: Solve for x
    x = 40,825,498,033.05/230,385.96
  6. Step 6: Final answer
    x = 177,204.80

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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.