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Finding the Fourth Proportional to 213,612.30, 320,072.85 and 134,585.10

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Solution

The fourth proportional to 213,612.30, 320,072.85 and 134,585.10 is: 201,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,612.30 : 320,072.85 = 134,585.10 : x
  2. Step 2: Convert to fraction form
    213,612.30/320,072.85 = 134,585.10/x
  3. Step 3: Cross multiply
    213,612.30x = 320,072.85 × 134,585.10
  4. Step 4: Simplify right side
    213,612.30x = 43,077,036,524.54
  5. Step 5: Solve for x
    x = 43,077,036,524.54/213,612.30
  6. Step 6: Final answer
    x = 201,659.91

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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.