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Finding the Fourth Proportional to 213,342.80, 294,407.36 and 117,847.44

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Solution

The fourth proportional to 213,342.80, 294,407.36 and 117,847.44 is: 162,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,342.80 : 294,407.36 = 117,847.44 : x
  2. Step 2: Convert to fraction form
    213,342.80/294,407.36 = 117,847.44/x
  3. Step 3: Cross multiply
    213,342.80x = 294,407.36 × 117,847.44
  4. Step 4: Simplify right side
    213,342.80x = 34,695,153,693.16
  5. Step 5: Solve for x
    x = 34,695,153,693.16/213,342.80
  6. Step 6: Final answer
    x = 162,626.32

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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.