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Finding the Fourth Proportional to 257,469, 386,261.91 and 91,257

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Solution

The fourth proportional to 257,469, 386,261.91 and 91,257 is: 136,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,469 : 386,261.91 = 91,257 : x
  2. Step 2: Convert to fraction form
    257,469/386,261.91 = 91,257/x
  3. Step 3: Cross multiply
    257,469x = 386,261.91 × 91,257
  4. Step 4: Simplify right side
    257,469x = 35,249,103,120.87
  5. Step 5: Solve for x
    x = 35,249,103,120.87/257,469
  6. Step 6: Final answer
    x = 136,906.20

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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.