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Finding the Fourth Proportional to 202,964.94, 304,115.00 and 108,094.41

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Solution

The fourth proportional to 202,964.94, 304,115.00 and 108,094.41 is: 161,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.94 : 304,115.00 = 108,094.41 : x
  2. Step 2: Convert to fraction form
    202,964.94/304,115.00 = 108,094.41/x
  3. Step 3: Cross multiply
    202,964.94x = 304,115.00 × 108,094.41
  4. Step 4: Simplify right side
    202,964.94x = 32,873,130,956.68
  5. Step 5: Solve for x
    x = 32,873,130,956.68/202,964.94
  6. Step 6: Final answer
    x = 161,964.58

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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.