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Finding the Fourth Proportional to 213,470.09, 294,589.65 and 116,675.90

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Solution

The fourth proportional to 213,470.09, 294,589.65 and 116,675.90 is: 161,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,470.09 : 294,589.65 = 116,675.90 : x
  2. Step 2: Convert to fraction form
    213,470.09/294,589.65 = 116,675.90/x
  3. Step 3: Cross multiply
    213,470.09x = 294,589.65 × 116,675.90
  4. Step 4: Simplify right side
    213,470.09x = 34,371,512,544.44
  5. Step 5: Solve for x
    x = 34,371,512,544.44/213,470.09
  6. Step 6: Final answer
    x = 161,013.25

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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.