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Finding the Fourth Proportional to 255,224.61, 382,836.93 and 68,231.25

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Solution

The fourth proportional to 255,224.61, 382,836.93 and 68,231.25 is: 102,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,224.61 : 382,836.93 = 68,231.25 : x
  2. Step 2: Convert to fraction form
    255,224.61/382,836.93 = 68,231.25/x
  3. Step 3: Cross multiply
    255,224.61x = 382,836.93 × 68,231.25
  4. Step 4: Simplify right side
    255,224.61x = 26,121,442,280.06
  5. Step 5: Solve for x
    x = 26,121,442,280.06/255,224.61
  6. Step 6: Final answer
    x = 102,346.88

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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.