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Finding the Fourth Proportional to 213,353.36, 294,438.60 and 117,859.28

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Solution

The fourth proportional to 213,353.36, 294,438.60 and 117,859.28 is: 162,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,353.36 : 294,438.60 = 117,859.28 : x
  2. Step 2: Convert to fraction form
    213,353.36/294,438.60 = 117,859.28/x
  3. Step 3: Cross multiply
    213,353.36x = 294,438.60 × 117,859.28
  4. Step 4: Simplify right side
    213,353.36x = 34,702,321,400.21
  5. Step 5: Solve for x
    x = 34,702,321,400.21/213,353.36
  6. Step 6: Final answer
    x = 162,651.86

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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.