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Finding the Fourth Proportional to 203,035.75, 304,853.01 and 113,253.88

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Solution

The fourth proportional to 203,035.75, 304,853.01 and 113,253.88 is: 170,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,035.75 : 304,853.01 = 113,253.88 : x
  2. Step 2: Convert to fraction form
    203,035.75/304,853.01 = 113,253.88/x
  3. Step 3: Cross multiply
    203,035.75x = 304,853.01 × 113,253.88
  4. Step 4: Simplify right side
    203,035.75x = 34,525,786,212.18
  5. Step 5: Solve for x
    x = 34,525,786,212.18/203,035.75
  6. Step 6: Final answer
    x = 170,047.82

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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.