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Finding the Fourth Proportional to 126,181.88, 189,243.64 and 37,413.98

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Solution

The fourth proportional to 126,181.88, 189,243.64 and 37,413.98 is: 56,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,181.88 : 189,243.64 = 37,413.98 : x
  2. Step 2: Convert to fraction form
    126,181.88/189,243.64 = 37,413.98/x
  3. Step 3: Cross multiply
    126,181.88x = 189,243.64 × 37,413.98
  4. Step 4: Simplify right side
    126,181.88x = 7,080,357,762.09
  5. Step 5: Solve for x
    x = 7,080,357,762.09/126,181.88
  6. Step 6: Final answer
    x = 56,112.32

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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.