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Finding the Fourth Proportional to 303,200.52, 454,846.17 and 97,966.56

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Solution

The fourth proportional to 303,200.52, 454,846.17 and 97,966.56 is: 146,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,200.52 : 454,846.17 = 97,966.56 : x
  2. Step 2: Convert to fraction form
    303,200.52/454,846.17 = 97,966.56/x
  3. Step 3: Cross multiply
    303,200.52x = 454,846.17 × 97,966.56
  4. Step 4: Simplify right side
    303,200.52x = 44,559,714,604.08
  5. Step 5: Solve for x
    x = 44,559,714,604.08/303,200.52
  6. Step 6: Final answer
    x = 146,964.51

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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.