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Finding the Fourth Proportional to 117,712.05, 176,542.56 and 42,834.03

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Solution

The fourth proportional to 117,712.05, 176,542.56 and 42,834.03 is: 64,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,712.05 : 176,542.56 = 42,834.03 : x
  2. Step 2: Convert to fraction form
    117,712.05/176,542.56 = 42,834.03/x
  3. Step 3: Cross multiply
    117,712.05x = 176,542.56 × 42,834.03
  4. Step 4: Simplify right side
    117,712.05x = 7,562,029,311.32
  5. Step 5: Solve for x
    x = 7,562,029,311.32/117,712.05
  6. Step 6: Final answer
    x = 64,241.76

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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.