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Finding the Fourth Proportional to 114,113.82, 171,180.54 and 29,873.64

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Solution

The fourth proportional to 114,113.82, 171,180.54 and 29,873.64 is: 44,813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,113.82 : 171,180.54 = 29,873.64 : x
  2. Step 2: Convert to fraction form
    114,113.82/171,180.54 = 29,873.64/x
  3. Step 3: Cross multiply
    114,113.82x = 171,180.54 × 29,873.64
  4. Step 4: Simplify right side
    114,113.82x = 5,113,785,826.97
  5. Step 5: Solve for x
    x = 5,113,785,826.97/114,113.82
  6. Step 6: Final answer
    x = 44,813.03

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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.