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Finding the Fourth Proportional to 114,462.95, 171,691.80 and 30,229.05

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Solution

The fourth proportional to 114,462.95, 171,691.80 and 30,229.05 is: 45,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.95 : 171,691.80 = 30,229.05 : x
  2. Step 2: Convert to fraction form
    114,462.95/171,691.80 = 30,229.05/x
  3. Step 3: Cross multiply
    114,462.95x = 171,691.80 × 30,229.05
  4. Step 4: Simplify right side
    114,462.95x = 5,190,079,741.55
  5. Step 5: Solve for x
    x = 5,190,079,741.55/114,462.95
  6. Step 6: Final answer
    x = 45,342.88

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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.