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Finding the Fourth Proportional to 213,619.57, 320,499.50 and 87,366

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Solution

The fourth proportional to 213,619.57, 320,499.50 and 87,366 is: 131,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,619.57 : 320,499.50 = 87,366 : x
  2. Step 2: Convert to fraction form
    213,619.57/320,499.50 = 87,366/x
  3. Step 3: Cross multiply
    213,619.57x = 320,499.50 × 87,366
  4. Step 4: Simplify right side
    213,619.57x = 28,000,759,317
  5. Step 5: Solve for x
    x = 28,000,759,317/213,619.57
  6. Step 6: Final answer
    x = 131,077.69

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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.