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Finding the Fourth Proportional to 210,383.82, 315,578.52 and 70,142.49

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Solution

The fourth proportional to 210,383.82, 315,578.52 and 70,142.49 is: 105,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,383.82 : 315,578.52 = 70,142.49 : x
  2. Step 2: Convert to fraction form
    210,383.82/315,578.52 = 70,142.49/x
  3. Step 3: Cross multiply
    210,383.82x = 315,578.52 × 70,142.49
  4. Step 4: Simplify right side
    210,383.82x = 22,135,464,147.62
  5. Step 5: Solve for x
    x = 22,135,464,147.62/210,383.82
  6. Step 6: Final answer
    x = 105,214.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.