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Finding the Fourth Proportional to 195,735.34, 270,106.50 and 114,071.32

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Solution

The fourth proportional to 195,735.34, 270,106.50 and 114,071.32 is: 157,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,735.34 : 270,106.50 = 114,071.32 : x
  2. Step 2: Convert to fraction form
    195,735.34/270,106.50 = 114,071.32/x
  3. Step 3: Cross multiply
    195,735.34x = 270,106.50 × 114,071.32
  4. Step 4: Simplify right side
    195,735.34x = 30,811,404,995.58
  5. Step 5: Solve for x
    x = 30,811,404,995.58/195,735.34
  6. Step 6: Final answer
    x = 157,413.60

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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.