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Finding the Fourth Proportional to 203,672.24, 305,244.77 and 113,712.60

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Solution

The fourth proportional to 203,672.24, 305,244.77 and 113,712.60 is: 170,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,672.24 : 305,244.77 = 113,712.60 : x
  2. Step 2: Convert to fraction form
    203,672.24/305,244.77 = 113,712.60/x
  3. Step 3: Cross multiply
    203,672.24x = 305,244.77 × 113,712.60
  4. Step 4: Simplify right side
    203,672.24x = 34,710,175,864.54
  5. Step 5: Solve for x
    x = 34,710,175,864.54/203,672.24
  6. Step 6: Final answer
    x = 170,421.74

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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.