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Finding the Fourth Proportional to 177,027.86, 265,652.51 and 71,846.83

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Solution

The fourth proportional to 177,027.86, 265,652.51 and 71,846.83 is: 107,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,027.86 : 265,652.51 = 71,846.83 : x
  2. Step 2: Convert to fraction form
    177,027.86/265,652.51 = 71,846.83/x
  3. Step 3: Cross multiply
    177,027.86x = 265,652.51 × 71,846.83
  4. Step 4: Simplify right side
    177,027.86x = 19,086,291,102.01
  5. Step 5: Solve for x
    x = 19,086,291,102.01/177,027.86
  6. Step 6: Final answer
    x = 107,815.18

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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.