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Finding the Fourth Proportional to 256,215.40, 384,438.30 and 115,901.80

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Solution

The fourth proportional to 256,215.40, 384,438.30 and 115,901.80 is: 173,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,215.40 : 384,438.30 = 115,901.80 : x
  2. Step 2: Convert to fraction form
    256,215.40/384,438.30 = 115,901.80/x
  3. Step 3: Cross multiply
    256,215.40x = 384,438.30 × 115,901.80
  4. Step 4: Simplify right side
    256,215.40x = 44,557,090,958.94
  5. Step 5: Solve for x
    x = 44,557,090,958.94/256,215.40
  6. Step 6: Final answer
    x = 173,904.81

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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.