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Finding the Fourth Proportional to 202,799.36, 303,984.52 and 76,384.91

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Solution

The fourth proportional to 202,799.36, 303,984.52 and 76,384.91 is: 114,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,799.36 : 303,984.52 = 76,384.91 : x
  2. Step 2: Convert to fraction form
    202,799.36/303,984.52 = 76,384.91/x
  3. Step 3: Cross multiply
    202,799.36x = 303,984.52 × 76,384.91
  4. Step 4: Simplify right side
    202,799.36x = 23,219,829,013.91
  5. Step 5: Solve for x
    x = 23,219,829,013.91/202,799.36
  6. Step 6: Final answer
    x = 114,496.56

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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.