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Finding the Fourth Proportional to 254,859.54, 382,280.61 and 65,321.77

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Solution

The fourth proportional to 254,859.54, 382,280.61 and 65,321.77 is: 97,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,859.54 : 382,280.61 = 65,321.77 : x
  2. Step 2: Convert to fraction form
    254,859.54/382,280.61 = 65,321.77/x
  3. Step 3: Cross multiply
    254,859.54x = 382,280.61 × 65,321.77
  4. Step 4: Simplify right side
    254,859.54x = 24,971,246,081.88
  5. Step 5: Solve for x
    x = 24,971,246,081.88/254,859.54
  6. Step 6: Final answer
    x = 97,980.43

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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.