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Finding the Fourth Proportional to 213,225.94, 294,128.43 and 137,774.44

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Solution

The fourth proportional to 213,225.94, 294,128.43 and 137,774.44 is: 190,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,225.94 : 294,128.43 = 137,774.44 : x
  2. Step 2: Convert to fraction form
    213,225.94/294,128.43 = 137,774.44/x
  3. Step 3: Cross multiply
    213,225.94x = 294,128.43 × 137,774.44
  4. Step 4: Simplify right side
    213,225.94x = 40,523,379,731.33
  5. Step 5: Solve for x
    x = 40,523,379,731.33/213,225.94
  6. Step 6: Final answer
    x = 190,049.01

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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.