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Finding the Fourth Proportional to 202,903.28, 304,351.84 and 69,784.69

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Solution

The fourth proportional to 202,903.28, 304,351.84 and 69,784.69 is: 104,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,903.28 : 304,351.84 = 69,784.69 : x
  2. Step 2: Convert to fraction form
    202,903.28/304,351.84 = 69,784.69/x
  3. Step 3: Cross multiply
    202,903.28x = 304,351.84 × 69,784.69
  4. Step 4: Simplify right side
    202,903.28x = 21,239,097,869.99
  5. Step 5: Solve for x
    x = 21,239,097,869.99/202,903.28
  6. Step 6: Final answer
    x = 104,675.97

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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.