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Finding the Fourth Proportional to 214,162.16, 321,245.84 and 101,853.24

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Solution

The fourth proportional to 214,162.16, 321,245.84 and 101,853.24 is: 152,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,162.16 : 321,245.84 = 101,853.24 : x
  2. Step 2: Convert to fraction form
    214,162.16/321,245.84 = 101,853.24/x
  3. Step 3: Cross multiply
    214,162.16x = 321,245.84 × 101,853.24
  4. Step 4: Simplify right side
    214,162.16x = 32,719,929,640.52
  5. Step 5: Solve for x
    x = 32,719,929,640.52/214,162.16
  6. Step 6: Final answer
    x = 152,781.10

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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.