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Finding the Fourth Proportional to 256,128.30, 384,192.45 and 163,046.70

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Solution

The fourth proportional to 256,128.30, 384,192.45 and 163,046.70 is: 244,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,128.30 : 384,192.45 = 163,046.70 : x
  2. Step 2: Convert to fraction form
    256,128.30/384,192.45 = 163,046.70/x
  3. Step 3: Cross multiply
    256,128.30x = 384,192.45 × 163,046.70
  4. Step 4: Simplify right side
    256,128.30x = 62,641,311,137.42
  5. Step 5: Solve for x
    x = 62,641,311,137.42/256,128.30
  6. Step 6: Final answer
    x = 244,570.05

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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.