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Finding the Fourth Proportional to 213,634.67, 294,698.66 and 137,068.27

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Solution

The fourth proportional to 213,634.67, 294,698.66 and 137,068.27 is: 189,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,634.67 : 294,698.66 = 137,068.27 : x
  2. Step 2: Convert to fraction form
    213,634.67/294,698.66 = 137,068.27/x
  3. Step 3: Cross multiply
    213,634.67x = 294,698.66 × 137,068.27
  4. Step 4: Simplify right side
    213,634.67x = 40,393,834,075.43
  5. Step 5: Solve for x
    x = 40,393,834,075.43/213,634.67
  6. Step 6: Final answer
    x = 189,079.02

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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.