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Finding the Fourth Proportional to 213,205.32, 294,221.46 and 117,709.98

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Solution

The fourth proportional to 213,205.32, 294,221.46 and 117,709.98 is: 162,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,205.32 : 294,221.46 = 117,709.98 : x
  2. Step 2: Convert to fraction form
    213,205.32/294,221.46 = 117,709.98/x
  3. Step 3: Cross multiply
    213,205.32x = 294,221.46 × 117,709.98
  4. Step 4: Simplify right side
    213,205.32x = 34,632,802,172.17
  5. Step 5: Solve for x
    x = 34,632,802,172.17/213,205.32
  6. Step 6: Final answer
    x = 162,438.73

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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.