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Finding the Fourth Proportional to 188,401, 282,602.14 and 57,073

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Solution

The fourth proportional to 188,401, 282,602.14 and 57,073 is: 85,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,401 : 282,602.14 = 57,073 : x
  2. Step 2: Convert to fraction form
    188,401/282,602.14 = 57,073/x
  3. Step 3: Cross multiply
    188,401x = 282,602.14 × 57,073
  4. Step 4: Simplify right side
    188,401x = 16,128,951,936.22
  5. Step 5: Solve for x
    x = 16,128,951,936.22/188,401
  6. Step 6: Final answer
    x = 85,609.69

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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.