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Finding the Fourth Proportional to 257,593.52, 386,391.72 and 117,254

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Solution

The fourth proportional to 257,593.52, 386,391.72 and 117,254 is: 175,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,593.52 : 386,391.72 = 117,254 : x
  2. Step 2: Convert to fraction form
    257,593.52/386,391.72 = 117,254/x
  3. Step 3: Cross multiply
    257,593.52x = 386,391.72 × 117,254
  4. Step 4: Simplify right side
    257,593.52x = 45,305,974,736.88
  5. Step 5: Solve for x
    x = 45,305,974,736.88/257,593.52
  6. Step 6: Final answer
    x = 175,881.66

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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.