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Finding the Fourth Proportional to 196,157.50, 294,236.25 and 48,413.50

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Solution

The fourth proportional to 196,157.50, 294,236.25 and 48,413.50 is: 72,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,157.50 : 294,236.25 = 48,413.50 : x
  2. Step 2: Convert to fraction form
    196,157.50/294,236.25 = 48,413.50/x
  3. Step 3: Cross multiply
    196,157.50x = 294,236.25 × 48,413.50
  4. Step 4: Simplify right side
    196,157.50x = 14,245,006,689.38
  5. Step 5: Solve for x
    x = 14,245,006,689.38/196,157.50
  6. Step 6: Final answer
    x = 72,620.25

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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.