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Finding the Fourth Proportional to 256,093.92, 384,140.88 and 98,236.26

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Solution

The fourth proportional to 256,093.92, 384,140.88 and 98,236.26 is: 147,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,093.92 : 384,140.88 = 98,236.26 : x
  2. Step 2: Convert to fraction form
    256,093.92/384,140.88 = 98,236.26/x
  3. Step 3: Cross multiply
    256,093.92x = 384,140.88 × 98,236.26
  4. Step 4: Simplify right side
    256,093.92x = 37,736,563,364.31
  5. Step 5: Solve for x
    x = 37,736,563,364.31/256,093.92
  6. Step 6: Final answer
    x = 147,354.39

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1.5x scale

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.