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Finding the Fourth Proportional to 256,133.85, 384,195.39 and 85,367.93

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Solution

The fourth proportional to 256,133.85, 384,195.39 and 85,367.93 is: 128,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,133.85 : 384,195.39 = 85,367.93 : x
  2. Step 2: Convert to fraction form
    256,133.85/384,195.39 = 85,367.93/x
  3. Step 3: Cross multiply
    256,133.85x = 384,195.39 × 85,367.93
  4. Step 4: Simplify right side
    256,133.85x = 32,797,962,918.74
  5. Step 5: Solve for x
    x = 32,797,962,918.74/256,133.85
  6. Step 6: Final answer
    x = 128,050.09

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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.