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Finding the Fourth Proportional to 213,622.36, 320,430.06 and 87,234.84

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Solution

The fourth proportional to 213,622.36, 320,430.06 and 87,234.84 is: 130,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,622.36 : 320,430.06 = 87,234.84 : x
  2. Step 2: Convert to fraction form
    213,622.36/320,430.06 = 87,234.84/x
  3. Step 3: Cross multiply
    213,622.36x = 320,430.06 × 87,234.84
  4. Step 4: Simplify right side
    213,622.36x = 27,952,665,015.29
  5. Step 5: Solve for x
    x = 27,952,665,015.29/213,622.36
  6. Step 6: Final answer
    x = 130,850.84

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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.