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Finding the Fourth Proportional to 196,195, 294,295.27 and 55,953.63

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Solution

The fourth proportional to 196,195, 294,295.27 and 55,953.63 is: 83,931.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,195 : 294,295.27 = 55,953.63 : x
  2. Step 2: Convert to fraction form
    196,195/294,295.27 = 55,953.63/x
  3. Step 3: Cross multiply
    196,195x = 294,295.27 × 55,953.63
  4. Step 4: Simplify right side
    196,195x = 16,466,888,648.33
  5. Step 5: Solve for x
    x = 16,466,888,648.33/196,195
  6. Step 6: Final answer
    x = 83,931.23

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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.