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Finding the Fourth Proportional to 228,394.92, 342,474.34 and 100,258.76

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Solution

The fourth proportional to 228,394.92, 342,474.34 and 100,258.76 is: 150,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,394.92 : 342,474.34 = 100,258.76 : x
  2. Step 2: Convert to fraction form
    228,394.92/342,474.34 = 100,258.76/x
  3. Step 3: Cross multiply
    228,394.92x = 342,474.34 × 100,258.76
  4. Step 4: Simplify right side
    228,394.92x = 34,336,053,277.51
  5. Step 5: Solve for x
    x = 34,336,053,277.51/228,394.92
  6. Step 6: Final answer
    x = 150,336.33

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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.