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Finding the Fourth Proportional to 213,356.34, 294,420.87 and 117,844.56

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Solution

The fourth proportional to 213,356.34, 294,420.87 and 117,844.56 is: 162,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,356.34 : 294,420.87 = 117,844.56 : x
  2. Step 2: Convert to fraction form
    213,356.34/294,420.87 = 117,844.56/x
  3. Step 3: Cross multiply
    213,356.34x = 294,420.87 × 117,844.56
  4. Step 4: Simplify right side
    213,356.34x = 34,695,897,879.97
  5. Step 5: Solve for x
    x = 34,695,897,879.97/213,356.34
  6. Step 6: Final answer
    x = 162,619.48

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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.