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Finding the Fourth Proportional to 120,743.60, 181,115.40 and 70,847.60

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Solution

The fourth proportional to 120,743.60, 181,115.40 and 70,847.60 is: 106,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743.60 : 181,115.40 = 70,847.60 : x
  2. Step 2: Convert to fraction form
    120,743.60/181,115.40 = 70,847.60/x
  3. Step 3: Cross multiply
    120,743.60x = 181,115.40 × 70,847.60
  4. Step 4: Simplify right side
    120,743.60x = 12,831,591,413.04
  5. Step 5: Solve for x
    x = 12,831,591,413.04/120,743.60
  6. Step 6: Final answer
    x = 106,271.40

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Why These Related Problems?

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