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Finding the Fourth Proportional to 177,266.75, 265,859.62 and 50,906.00

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Solution

The fourth proportional to 177,266.75, 265,859.62 and 50,906.00 is: 76,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,266.75 : 265,859.62 = 50,906.00 : x
  2. Step 2: Convert to fraction form
    177,266.75/265,859.62 = 50,906.00/x
  3. Step 3: Cross multiply
    177,266.75x = 265,859.62 × 50,906.00
  4. Step 4: Simplify right side
    177,266.75x = 13,533,850,353.10
  5. Step 5: Solve for x
    x = 13,533,850,353.10/177,266.75
  6. Step 6: Final answer
    x = 76,347.37

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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.