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Finding the Fourth Proportional to 97,847.40, 146,771.10 and 66,743.40

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Solution

The fourth proportional to 97,847.40, 146,771.10 and 66,743.40 is: 100,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,847.40 : 146,771.10 = 66,743.40 : x
  2. Step 2: Convert to fraction form
    97,847.40/146,771.10 = 66,743.40/x
  3. Step 3: Cross multiply
    97,847.40x = 146,771.10 × 66,743.40
  4. Step 4: Simplify right side
    97,847.40x = 9,796,002,235.74
  5. Step 5: Solve for x
    x = 9,796,002,235.74/97,847.40
  6. Step 6: Final answer
    x = 100,115.10

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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.