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Finding the Fourth Proportional to 256,100.40, 384,035.40 and 98,276.40

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Solution

The fourth proportional to 256,100.40, 384,035.40 and 98,276.40 is: 147,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,100.40 : 384,035.40 = 98,276.40 : x
  2. Step 2: Convert to fraction form
    256,100.40/384,035.40 = 98,276.40/x
  3. Step 3: Cross multiply
    256,100.40x = 384,035.40 × 98,276.40
  4. Step 4: Simplify right side
    256,100.40x = 37,741,616,584.56
  5. Step 5: Solve for x
    x = 37,741,616,584.56/256,100.40
  6. Step 6: Final answer
    x = 147,370.39

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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.