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Finding the Fourth Proportional to 213,224.46, 294,244.14 and 117,729.10

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Solution

The fourth proportional to 213,224.46, 294,244.14 and 117,729.10 is: 162,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,224.46 : 294,244.14 = 117,729.10 : x
  2. Step 2: Convert to fraction form
    213,224.46/294,244.14 = 117,729.10/x
  3. Step 3: Cross multiply
    213,224.46x = 294,244.14 × 117,729.10
  4. Step 4: Simplify right side
    213,224.46x = 34,641,097,782.47
  5. Step 5: Solve for x
    x = 34,641,097,782.47/213,224.46
  6. Step 6: Final answer
    x = 162,463.06

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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.