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Finding the Fourth Proportional to 213,037.35, 319,313.19 and 133,112.22

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Solution

The fourth proportional to 213,037.35, 319,313.19 and 133,112.22 is: 199,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,037.35 : 319,313.19 = 133,112.22 : x
  2. Step 2: Convert to fraction form
    213,037.35/319,313.19 = 133,112.22/x
  3. Step 3: Cross multiply
    213,037.35x = 319,313.19 × 133,112.22
  4. Step 4: Simplify right side
    213,037.35x = 42,504,487,596.18
  5. Step 5: Solve for x
    x = 42,504,487,596.18/213,037.35
  6. Step 6: Final answer
    x = 199,516.60

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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.