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Finding the Fourth Proportional to 256,596.94, 384,854.97 and 85,817.35

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Solution

The fourth proportional to 256,596.94, 384,854.97 and 85,817.35 is: 128,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,596.94 : 384,854.97 = 85,817.35 : x
  2. Step 2: Convert to fraction form
    256,596.94/384,854.97 = 85,817.35/x
  3. Step 3: Cross multiply
    256,596.94x = 384,854.97 × 85,817.35
  4. Step 4: Simplify right side
    256,596.94x = 33,027,233,874.27
  5. Step 5: Solve for x
    x = 33,027,233,874.27/256,596.94
  6. Step 6: Final answer
    x = 128,712.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.