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Finding the Fourth Proportional to 313,994.94, 433,090.15 and 192,977.29

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Solution

The fourth proportional to 313,994.94, 433,090.15 and 192,977.29 is: 266,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,994.94 : 433,090.15 = 192,977.29 : x
  2. Step 2: Convert to fraction form
    313,994.94/433,090.15 = 192,977.29/x
  3. Step 3: Cross multiply
    313,994.94x = 433,090.15 × 192,977.29
  4. Step 4: Simplify right side
    313,994.94x = 83,576,563,472.69
  5. Step 5: Solve for x
    x = 83,576,563,472.69/313,994.94
  6. Step 6: Final answer
    x = 266,171.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.