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Finding the Fourth Proportional to 203,733.36, 305,412.93 and 70,520.42

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Solution

The fourth proportional to 203,733.36, 305,412.93 and 70,520.42 is: 105,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,733.36 : 305,412.93 = 70,520.42 : x
  2. Step 2: Convert to fraction form
    203,733.36/305,412.93 = 70,520.42/x
  3. Step 3: Cross multiply
    203,733.36x = 305,412.93 × 70,520.42
  4. Step 4: Simplify right side
    203,733.36x = 21,537,848,860.56
  5. Step 5: Solve for x
    x = 21,537,848,860.56/203,733.36
  6. Step 6: Final answer
    x = 105,715.87

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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.