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Finding the Fourth Proportional to 256,595.92, 384,795.48 and 88,084.84

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Solution

The fourth proportional to 256,595.92, 384,795.48 and 88,084.84 is: 132,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,595.92 : 384,795.48 = 88,084.84 : x
  2. Step 2: Convert to fraction form
    256,595.92/384,795.48 = 88,084.84/x
  3. Step 3: Cross multiply
    256,595.92x = 384,795.48 × 88,084.84
  4. Step 4: Simplify right side
    256,595.92x = 33,894,648,288.52
  5. Step 5: Solve for x
    x = 33,894,648,288.52/256,595.92
  6. Step 6: Final answer
    x = 132,093.48

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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.