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Finding the Fourth Proportional to 256,826.39, 354,413.59 and 142,102.04

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Solution

The fourth proportional to 256,826.39, 354,413.59 and 142,102.04 is: 196,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,826.39 : 354,413.59 = 142,102.04 : x
  2. Step 2: Convert to fraction form
    256,826.39/354,413.59 = 142,102.04/x
  3. Step 3: Cross multiply
    256,826.39x = 354,413.59 × 142,102.04
  4. Step 4: Simplify right side
    256,826.39x = 50,362,892,370.66
  5. Step 5: Solve for x
    x = 50,362,892,370.66/256,826.39
  6. Step 6: Final answer
    x = 196,097.03

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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.