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Finding the Fourth Proportional to 303,013.56, 454,585.86 and 116,025

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Solution

The fourth proportional to 303,013.56, 454,585.86 and 116,025 is: 174,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,013.56 : 454,585.86 = 116,025 : x
  2. Step 2: Convert to fraction form
    303,013.56/454,585.86 = 116,025/x
  3. Step 3: Cross multiply
    303,013.56x = 454,585.86 × 116,025
  4. Step 4: Simplify right side
    303,013.56x = 52,743,324,406.50
  5. Step 5: Solve for x
    x = 52,743,324,406.50/303,013.56
  6. Step 6: Final answer
    x = 174,062.59

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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.