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Finding the Fourth Proportional to 213,202.28, 319,453.50 and 72,884.36

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Solution

The fourth proportional to 213,202.28, 319,453.50 and 72,884.36 is: 109,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,202.28 : 319,453.50 = 72,884.36 : x
  2. Step 2: Convert to fraction form
    213,202.28/319,453.50 = 72,884.36/x
  3. Step 3: Cross multiply
    213,202.28x = 319,453.50 × 72,884.36
  4. Step 4: Simplify right side
    213,202.28x = 23,283,163,897.26
  5. Step 5: Solve for x
    x = 23,283,163,897.26/213,202.28
  6. Step 6: Final answer
    x = 109,206.92

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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.