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Finding the Fourth Proportional to 256,152.30, 384,228.45 and 131,736.30

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Solution

The fourth proportional to 256,152.30, 384,228.45 and 131,736.30 is: 197,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,152.30 : 384,228.45 = 131,736.30 : x
  2. Step 2: Convert to fraction form
    256,152.30/384,228.45 = 131,736.30/x
  3. Step 3: Cross multiply
    256,152.30x = 384,228.45 × 131,736.30
  4. Step 4: Simplify right side
    256,152.30x = 50,616,834,357.74
  5. Step 5: Solve for x
    x = 50,616,834,357.74/256,152.30
  6. Step 6: Final answer
    x = 197,604.45

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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.