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Finding the Fourth Proportional to 213,215.34, 294,241.76 and 117,728.08

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Solution

The fourth proportional to 213,215.34, 294,241.76 and 117,728.08 is: 162,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,215.34 : 294,241.76 = 117,728.08 : x
  2. Step 2: Convert to fraction form
    213,215.34/294,241.76 = 117,728.08/x
  3. Step 3: Cross multiply
    213,215.34x = 294,241.76 × 117,728.08
  4. Step 4: Simplify right side
    213,215.34x = 34,640,517,460.62
  5. Step 5: Solve for x
    x = 34,640,517,460.62/213,215.34
  6. Step 6: Final answer
    x = 162,467.29

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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.