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Finding the Fourth Proportional to 116,564.56, 174,183.24 and 87,523.84

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Solution

The fourth proportional to 116,564.56, 174,183.24 and 87,523.84 is: 130,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,564.56 : 174,183.24 = 87,523.84 : x
  2. Step 2: Convert to fraction form
    116,564.56/174,183.24 = 87,523.84/x
  3. Step 3: Cross multiply
    116,564.56x = 174,183.24 × 87,523.84
  4. Step 4: Simplify right side
    116,564.56x = 15,245,186,028.44
  5. Step 5: Solve for x
    x = 15,245,186,028.44/116,564.56
  6. Step 6: Final answer
    x = 130,787.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.