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Finding the Fourth Proportional to 254,777.92, 382,167.80 and 77,286.48

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Solution

The fourth proportional to 254,777.92, 382,167.80 and 77,286.48 is: 115,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,777.92 : 382,167.80 = 77,286.48 : x
  2. Step 2: Convert to fraction form
    254,777.92/382,167.80 = 77,286.48/x
  3. Step 3: Cross multiply
    254,777.92x = 382,167.80 × 77,286.48
  4. Step 4: Simplify right side
    254,777.92x = 29,536,404,031.34
  5. Step 5: Solve for x
    x = 29,536,404,031.34/254,777.92
  6. Step 6: Final answer
    x = 115,930.00

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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.