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Finding the Fourth Proportional to 213,288.16, 319,949.25 and 73,048

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Solution

The fourth proportional to 213,288.16, 319,949.25 and 73,048 is: 109,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,288.16 : 319,949.25 = 73,048 : x
  2. Step 2: Convert to fraction form
    213,288.16/319,949.25 = 73,048/x
  3. Step 3: Cross multiply
    213,288.16x = 319,949.25 × 73,048
  4. Step 4: Simplify right side
    213,288.16x = 23,371,652,814
  5. Step 5: Solve for x
    x = 23,371,652,814/213,288.16
  6. Step 6: Final answer
    x = 109,577.83

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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.