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Finding the Fourth Proportional to 213,085.15, 294,168.07 and 155,660

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Solution

The fourth proportional to 213,085.15, 294,168.07 and 155,660 is: 214,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,085.15 : 294,168.07 = 155,660 : x
  2. Step 2: Convert to fraction form
    213,085.15/294,168.07 = 155,660/x
  3. Step 3: Cross multiply
    213,085.15x = 294,168.07 × 155,660
  4. Step 4: Simplify right side
    213,085.15x = 45,790,201,776.20
  5. Step 5: Solve for x
    x = 45,790,201,776.20/213,085.15
  6. Step 6: Final answer
    x = 214,891.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.