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Finding the Fourth Proportional to 212,441.07, 318,662.21 and 86,083.50

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Solution

The fourth proportional to 212,441.07, 318,662.21 and 86,083.50 is: 129,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,441.07 : 318,662.21 = 86,083.50 : x
  2. Step 2: Convert to fraction form
    212,441.07/318,662.21 = 86,083.50/x
  3. Step 3: Cross multiply
    212,441.07x = 318,662.21 × 86,083.50
  4. Step 4: Simplify right side
    212,441.07x = 27,431,558,354.54
  5. Step 5: Solve for x
    x = 27,431,558,354.54/212,441.07
  6. Step 6: Final answer
    x = 129,125.50

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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.