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Finding the Fourth Proportional to 256,103.36, 353,388.48 and 148,672.16

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Solution

The fourth proportional to 256,103.36, 353,388.48 and 148,672.16 is: 205,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,103.36 : 353,388.48 = 148,672.16 : x
  2. Step 2: Convert to fraction form
    256,103.36/353,388.48 = 148,672.16/x
  3. Step 3: Cross multiply
    256,103.36x = 353,388.48 × 148,672.16
  4. Step 4: Simplify right side
    256,103.36x = 52,539,028,640.72
  5. Step 5: Solve for x
    x = 52,539,028,640.72/256,103.36
  6. Step 6: Final answer
    x = 205,147.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.