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Finding the Fourth Proportional to 213,447.36, 294,532.28 and 117,948.36

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Solution

The fourth proportional to 213,447.36, 294,532.28 and 117,948.36 is: 162,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,447.36 : 294,532.28 = 117,948.36 : x
  2. Step 2: Convert to fraction form
    213,447.36/294,532.28 = 117,948.36/x
  3. Step 3: Cross multiply
    213,447.36x = 294,532.28 × 117,948.36
  4. Step 4: Simplify right side
    213,447.36x = 34,739,600,350.12
  5. Step 5: Solve for x
    x = 34,739,600,350.12/213,447.36
  6. Step 6: Final answer
    x = 162,754.88

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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.