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Finding the Fourth Proportional to 213,054.70, 294,015.18 and 117,561.37

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Solution

The fourth proportional to 213,054.70, 294,015.18 and 117,561.37 is: 162,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,054.70 : 294,015.18 = 117,561.37 : x
  2. Step 2: Convert to fraction form
    213,054.70/294,015.18 = 117,561.37/x
  3. Step 3: Cross multiply
    213,054.70x = 294,015.18 × 117,561.37
  4. Step 4: Simplify right side
    213,054.70x = 34,564,827,361.60
  5. Step 5: Solve for x
    x = 34,564,827,361.60/213,054.70
  6. Step 6: Final answer
    x = 162,234.52

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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.