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Finding the Fourth Proportional to 197,413.40, 296,047.20 and 97,540.40

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Solution

The fourth proportional to 197,413.40, 296,047.20 and 97,540.40 is: 146,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,413.40 : 296,047.20 = 97,540.40 : x
  2. Step 2: Convert to fraction form
    197,413.40/296,047.20 = 97,540.40/x
  3. Step 3: Cross multiply
    197,413.40x = 296,047.20 × 97,540.40
  4. Step 4: Simplify right side
    197,413.40x = 28,876,562,306.88
  5. Step 5: Solve for x
    x = 28,876,562,306.88/197,413.40
  6. Step 6: Final answer
    x = 146,274.58

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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.