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Finding the Fourth Proportional to 135,769.50, 203,654.61 and 42,275.34

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Solution

The fourth proportional to 135,769.50, 203,654.61 and 42,275.34 is: 63,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,769.50 : 203,654.61 = 42,275.34 : x
  2. Step 2: Convert to fraction form
    135,769.50/203,654.61 = 42,275.34/x
  3. Step 3: Cross multiply
    135,769.50x = 203,654.61 × 42,275.34
  4. Step 4: Simplify right side
    135,769.50x = 8,609,567,880.32
  5. Step 5: Solve for x
    x = 8,609,567,880.32/135,769.50
  6. Step 6: Final answer
    x = 63,413.12

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