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Finding the Fourth Proportional to 213,806.05, 295,060.22 and 138,354.55

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Solution

The fourth proportional to 213,806.05, 295,060.22 and 138,354.55 is: 190,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,806.05 : 295,060.22 = 138,354.55 : x
  2. Step 2: Convert to fraction form
    213,806.05/295,060.22 = 138,354.55/x
  3. Step 3: Cross multiply
    213,806.05x = 295,060.22 × 138,354.55
  4. Step 4: Simplify right side
    213,806.05x = 40,822,923,050.41
  5. Step 5: Solve for x
    x = 40,822,923,050.41/213,806.05
  6. Step 6: Final answer
    x = 190,934.37

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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.