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Finding the Fourth Proportional to 213,993.85, 295,311.04 and 123,349.22

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Solution

The fourth proportional to 213,993.85, 295,311.04 and 123,349.22 is: 170,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,993.85 : 295,311.04 = 123,349.22 : x
  2. Step 2: Convert to fraction form
    213,993.85/295,311.04 = 123,349.22/x
  3. Step 3: Cross multiply
    213,993.85x = 295,311.04 × 123,349.22
  4. Step 4: Simplify right side
    213,993.85x = 36,426,386,441.39
  5. Step 5: Solve for x
    x = 36,426,386,441.39/213,993.85
  6. Step 6: Final answer
    x = 170,221.65

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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.