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Finding the Fourth Proportional to 142,823.31, 197,089.37 and 82,413.37

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Solution

The fourth proportional to 142,823.31, 197,089.37 and 82,413.37 is: 113,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,823.31 : 197,089.37 = 82,413.37 : x
  2. Step 2: Convert to fraction form
    142,823.31/197,089.37 = 82,413.37/x
  3. Step 3: Cross multiply
    142,823.31x = 197,089.37 × 82,413.37
  4. Step 4: Simplify right side
    142,823.31x = 16,242,798,760.81
  5. Step 5: Solve for x
    x = 16,242,798,760.81/142,823.31
  6. Step 6: Final answer
    x = 113,726.53

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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.