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Finding the Fourth Proportional to 200,533.64, 300,797.61 and 48,731.83

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Solution

The fourth proportional to 200,533.64, 300,797.61 and 48,731.83 is: 73,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,533.64 : 300,797.61 = 48,731.83 : x
  2. Step 2: Convert to fraction form
    200,533.64/300,797.61 = 48,731.83/x
  3. Step 3: Cross multiply
    200,533.64x = 300,797.61 × 48,731.83
  4. Step 4: Simplify right side
    200,533.64x = 14,658,418,997.94
  5. Step 5: Solve for x
    x = 14,658,418,997.94/200,533.64
  6. Step 6: Final answer
    x = 73,097.06

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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.