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Finding the Fourth Proportional to 238,807.86, 358,270.31 and 196,185.32

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Solution

The fourth proportional to 238,807.86, 358,270.31 and 196,185.32 is: 294,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,807.86 : 358,270.31 = 196,185.32 : x
  2. Step 2: Convert to fraction form
    238,807.86/358,270.31 = 196,185.32/x
  3. Step 3: Cross multiply
    238,807.86x = 358,270.31 × 196,185.32
  4. Step 4: Simplify right side
    238,807.86x = 70,287,375,413.85
  5. Step 5: Solve for x
    x = 70,287,375,413.85/238,807.86
  6. Step 6: Final answer
    x = 294,326.06

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Why These Related Problems?

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