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Finding the Fourth Proportional to 250,096, 375,203.68 and 81,616.64

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Solution

The fourth proportional to 250,096, 375,203.68 and 81,616.64 is: 122,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,096 : 375,203.68 = 81,616.64 : x
  2. Step 2: Convert to fraction form
    250,096/375,203.68 = 81,616.64/x
  3. Step 3: Cross multiply
    250,096x = 375,203.68 × 81,616.64
  4. Step 4: Simplify right side
    250,096x = 30,622,863,677.24
  5. Step 5: Solve for x
    x = 30,622,863,677.24/250,096
  6. Step 6: Final answer
    x = 122,444.44

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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.