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Finding the Fourth Proportional to 213,004.70, 319,235.70 and 113,212.70

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Solution

The fourth proportional to 213,004.70, 319,235.70 and 113,212.70 is: 169,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,004.70 : 319,235.70 = 113,212.70 : x
  2. Step 2: Convert to fraction form
    213,004.70/319,235.70 = 113,212.70/x
  3. Step 3: Cross multiply
    213,004.70x = 319,235.70 × 113,212.70
  4. Step 4: Simplify right side
    213,004.70x = 36,141,535,533.39
  5. Step 5: Solve for x
    x = 36,141,535,533.39/213,004.70
  6. Step 6: Final answer
    x = 169,674.83

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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.