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Finding the Fourth Proportional to 150,863.20, 210,932 and 150,863.20

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Solution

The fourth proportional to 150,863.20, 210,932 and 150,863.20 is: 210,932

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,863.20 : 210,932 = 150,863.20 : x
  2. Step 2: Convert to fraction form
    150,863.20/210,932 = 150,863.20/x
  3. Step 3: Cross multiply
    150,863.20x = 210,932 × 150,863.20
  4. Step 4: Simplify right side
    150,863.20x = 31,821,876,502.40
  5. Step 5: Solve for x
    x = 31,821,876,502.40/150,863.20
  6. Step 6: Final answer
    x = 210,932

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.