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Finding the Fourth Proportional to 230,942.40, 346,413.60 and 156,098.40

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Solution

The fourth proportional to 230,942.40, 346,413.60 and 156,098.40 is: 234,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,942.40 : 346,413.60 = 156,098.40 : x
  2. Step 2: Convert to fraction form
    230,942.40/346,413.60 = 156,098.40/x
  3. Step 3: Cross multiply
    230,942.40x = 346,413.60 × 156,098.40
  4. Step 4: Simplify right side
    230,942.40x = 54,074,608,698.24
  5. Step 5: Solve for x
    x = 54,074,608,698.24/230,942.40
  6. Step 6: Final answer
    x = 234,147.60

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1.5x scale

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.