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Finding the Fourth Proportional to 213,254.10, 319,683.39 and 80,222.52

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Solution

The fourth proportional to 213,254.10, 319,683.39 and 80,222.52 is: 120,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,254.10 : 319,683.39 = 80,222.52 : x
  2. Step 2: Convert to fraction form
    213,254.10/319,683.39 = 80,222.52/x
  3. Step 3: Cross multiply
    213,254.10x = 319,683.39 × 80,222.52
  4. Step 4: Simplify right side
    213,254.10x = 25,645,807,147.94
  5. Step 5: Solve for x
    x = 25,645,807,147.94/213,254.10
  6. Step 6: Final answer
    x = 120,259.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.