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Finding the Fourth Proportional to 100,195, 150,302.46 and 37,031.68

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Solution

The fourth proportional to 100,195, 150,302.46 and 37,031.68 is: 55,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,195 : 150,302.46 = 37,031.68 : x
  2. Step 2: Convert to fraction form
    100,195/150,302.46 = 37,031.68/x
  3. Step 3: Cross multiply
    100,195x = 150,302.46 × 37,031.68
  4. Step 4: Simplify right side
    100,195x = 5,565,952,601.93
  5. Step 5: Solve for x
    x = 5,565,952,601.93/100,195
  6. Step 6: Final answer
    x = 55,551.20

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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.