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Finding the Fourth Proportional to 256,098.10, 384,147.15 and 108,334.90

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Solution

The fourth proportional to 256,098.10, 384,147.15 and 108,334.90 is: 162,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098.10 : 384,147.15 = 108,334.90 : x
  2. Step 2: Convert to fraction form
    256,098.10/384,147.15 = 108,334.90/x
  3. Step 3: Cross multiply
    256,098.10x = 384,147.15 × 108,334.90
  4. Step 4: Simplify right side
    256,098.10x = 41,616,543,080.54
  5. Step 5: Solve for x
    x = 41,616,543,080.54/256,098.10
  6. Step 6: Final answer
    x = 162,502.35

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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.