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Finding the Fourth Proportional to 120,806.72, 181,505.44 and 114,092.48

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Solution

The fourth proportional to 120,806.72, 181,505.44 and 114,092.48 is: 171,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,806.72 : 181,505.44 = 114,092.48 : x
  2. Step 2: Convert to fraction form
    120,806.72/181,505.44 = 114,092.48/x
  3. Step 3: Cross multiply
    120,806.72x = 181,505.44 × 114,092.48
  4. Step 4: Simplify right side
    120,806.72x = 20,708,405,783.09
  5. Step 5: Solve for x
    x = 20,708,405,783.09/120,806.72
  6. Step 6: Final answer
    x = 171,417.66

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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.