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Finding the Fourth Proportional to 231,393.20, 346,859.40 and 106,516.40

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Solution

The fourth proportional to 231,393.20, 346,859.40 and 106,516.40 is: 159,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,393.20 : 346,859.40 = 106,516.40 : x
  2. Step 2: Convert to fraction form
    231,393.20/346,859.40 = 106,516.40/x
  3. Step 3: Cross multiply
    231,393.20x = 346,859.40 × 106,516.40
  4. Step 4: Simplify right side
    231,393.20x = 36,946,214,594.16
  5. Step 5: Solve for x
    x = 36,946,214,594.16/231,393.20
  6. Step 6: Final answer
    x = 159,668.54

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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.