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Finding the Fourth Proportional to 202,784.85, 304,195.50 and 53,022.74

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Solution

The fourth proportional to 202,784.85, 304,195.50 and 53,022.74 is: 79,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,784.85 : 304,195.50 = 53,022.74 : x
  2. Step 2: Convert to fraction form
    202,784.85/304,195.50 = 53,022.74/x
  3. Step 3: Cross multiply
    202,784.85x = 304,195.50 × 53,022.74
  4. Step 4: Simplify right side
    202,784.85x = 16,129,277,384.69
  5. Step 5: Solve for x
    x = 16,129,277,384.69/202,784.85
  6. Step 6: Final answer
    x = 79,538.87

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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.