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Finding the Fourth Proportional to 142,080.30, 196,056.86 and 78,413.99

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Solution

The fourth proportional to 142,080.30, 196,056.86 and 78,413.99 is: 108,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,080.30 : 196,056.86 = 78,413.99 : x
  2. Step 2: Convert to fraction form
    142,080.30/196,056.86 = 78,413.99/x
  3. Step 3: Cross multiply
    142,080.30x = 196,056.86 × 78,413.99
  4. Step 4: Simplify right side
    142,080.30x = 15,373,599,287.12
  5. Step 5: Solve for x
    x = 15,373,599,287.12/142,080.30
  6. Step 6: Final answer
    x = 108,203.60

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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.