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Finding the Fourth Proportional to 213,287.16, 319,947.75 and 73,047

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Solution

The fourth proportional to 213,287.16, 319,947.75 and 73,047 is: 109,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,287.16 : 319,947.75 = 73,047 : x
  2. Step 2: Convert to fraction form
    213,287.16/319,947.75 = 73,047/x
  3. Step 3: Cross multiply
    213,287.16x = 319,947.75 × 73,047
  4. Step 4: Simplify right side
    213,287.16x = 23,371,223,294.25
  5. Step 5: Solve for x
    x = 23,371,223,294.25/213,287.16
  6. Step 6: Final answer
    x = 109,576.33

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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.