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Finding the Fourth Proportional to 213,364.20, 294,438.36 and 117,870

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Solution

The fourth proportional to 213,364.20, 294,438.36 and 117,870 is: 162,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,364.20 : 294,438.36 = 117,870 : x
  2. Step 2: Convert to fraction form
    213,364.20/294,438.36 = 117,870/x
  3. Step 3: Cross multiply
    213,364.20x = 294,438.36 × 117,870
  4. Step 4: Simplify right side
    213,364.20x = 34,705,449,493.20
  5. Step 5: Solve for x
    x = 34,705,449,493.20/213,364.20
  6. Step 6: Final answer
    x = 162,658.26

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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.