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Finding the Fourth Proportional to 254,795.52, 382,191.84 and 65,255.52

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Solution

The fourth proportional to 254,795.52, 382,191.84 and 65,255.52 is: 97,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,795.52 : 382,191.84 = 65,255.52 : x
  2. Step 2: Convert to fraction form
    254,795.52/382,191.84 = 65,255.52/x
  3. Step 3: Cross multiply
    254,795.52x = 382,191.84 × 65,255.52
  4. Step 4: Simplify right side
    254,795.52x = 24,940,127,258.96
  5. Step 5: Solve for x
    x = 24,940,127,258.96/254,795.52
  6. Step 6: Final answer
    x = 97,882.91

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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.