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Finding the Fourth Proportional to 256,135.35, 384,197.64 and 85,369.43

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Solution

The fourth proportional to 256,135.35, 384,197.64 and 85,369.43 is: 128,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,135.35 : 384,197.64 = 85,369.43 : x
  2. Step 2: Convert to fraction form
    256,135.35/384,197.64 = 85,369.43/x
  3. Step 3: Cross multiply
    256,135.35x = 384,197.64 × 85,369.43
  4. Step 4: Simplify right side
    256,135.35x = 32,798,731,613.16
  5. Step 5: Solve for x
    x = 32,798,731,613.16/256,135.35
  6. Step 6: Final answer
    x = 128,052.34

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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.