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Finding the Fourth Proportional to 144,942.30, 217,413.45 and 144,942.30

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Solution

The fourth proportional to 144,942.30, 217,413.45 and 144,942.30 is: 217,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,942.30 : 217,413.45 = 144,942.30 : x
  2. Step 2: Convert to fraction form
    144,942.30/217,413.45 = 144,942.30/x
  3. Step 3: Cross multiply
    144,942.30x = 217,413.45 × 144,942.30
  4. Step 4: Simplify right side
    144,942.30x = 31,512,405,493.94
  5. Step 5: Solve for x
    x = 31,512,405,493.94/144,942.30
  6. Step 6: Final answer
    x = 217,413.45

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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.