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Finding the Fourth Proportional to 203,204.94, 304,821.99 and 70,083.24

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Solution

The fourth proportional to 203,204.94, 304,821.99 and 70,083.24 is: 105,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,204.94 : 304,821.99 = 70,083.24 : x
  2. Step 2: Convert to fraction form
    203,204.94/304,821.99 = 70,083.24/x
  3. Step 3: Cross multiply
    203,204.94x = 304,821.99 × 70,083.24
  4. Step 4: Simplify right side
    203,204.94x = 21,362,912,682.45
  5. Step 5: Solve for x
    x = 21,362,912,682.45/203,204.94
  6. Step 6: Final answer
    x = 105,129.89

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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.