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Finding the Fourth Proportional to 202,799.84, 303,985.25 and 76,385.39

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Solution

The fourth proportional to 202,799.84, 303,985.25 and 76,385.39 is: 114,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,799.84 : 303,985.25 = 76,385.39 : x
  2. Step 2: Convert to fraction form
    202,799.84/303,985.25 = 76,385.39/x
  3. Step 3: Cross multiply
    202,799.84x = 303,985.25 × 76,385.39
  4. Step 4: Simplify right side
    202,799.84x = 23,220,031,400.03
  5. Step 5: Solve for x
    x = 23,220,031,400.03/202,799.84
  6. Step 6: Final answer
    x = 114,497.29

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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.