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Finding the Fourth Proportional to 256,596.92, 384,796.98 and 88,085.84

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Solution

The fourth proportional to 256,596.92, 384,796.98 and 88,085.84 is: 132,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,596.92 : 384,796.98 = 88,085.84 : x
  2. Step 2: Convert to fraction form
    256,596.92/384,796.98 = 88,085.84/x
  3. Step 3: Cross multiply
    256,596.92x = 384,796.98 × 88,085.84
  4. Step 4: Simplify right side
    256,596.92x = 33,895,165,212.76
  5. Step 5: Solve for x
    x = 33,895,165,212.76/256,596.92
  6. Step 6: Final answer
    x = 132,094.98

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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.