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Finding the Fourth Proportional to 213,235.50, 319,656.42 and 80,025.33

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Solution

The fourth proportional to 213,235.50, 319,656.42 and 80,025.33 is: 119,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,235.50 : 319,656.42 = 80,025.33 : x
  2. Step 2: Convert to fraction form
    213,235.50/319,656.42 = 80,025.33/x
  3. Step 3: Cross multiply
    213,235.50x = 319,656.42 × 80,025.33
  4. Step 4: Simplify right side
    213,235.50x = 25,580,610,497.12
  5. Step 5: Solve for x
    x = 25,580,610,497.12/213,235.50
  6. Step 6: Final answer
    x = 119,964.13

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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.