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Finding the Fourth Proportional to 256,101.60, 383,662.80 and 137,733.60

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Solution

The fourth proportional to 256,101.60, 383,662.80 and 137,733.60 is: 206,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,101.60 : 383,662.80 = 137,733.60 : x
  2. Step 2: Convert to fraction form
    256,101.60/383,662.80 = 137,733.60/x
  3. Step 3: Cross multiply
    256,101.60x = 383,662.80 × 137,733.60
  4. Step 4: Simplify right side
    256,101.60x = 52,843,258,630.08
  5. Step 5: Solve for x
    x = 52,843,258,630.08/256,101.60
  6. Step 6: Final answer
    x = 206,337.09

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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.