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Finding the Fourth Proportional to 213,763.70, 320,434.05 and 101,246.15

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Solution

The fourth proportional to 213,763.70, 320,434.05 and 101,246.15 is: 151,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,763.70 : 320,434.05 = 101,246.15 : x
  2. Step 2: Convert to fraction form
    213,763.70/320,434.05 = 101,246.15/x
  3. Step 3: Cross multiply
    213,763.70x = 320,434.05 × 101,246.15
  4. Step 4: Simplify right side
    213,763.70x = 32,442,713,891.41
  5. Step 5: Solve for x
    x = 32,442,713,891.41/213,763.70
  6. Step 6: Final answer
    x = 151,769.05

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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.