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Finding the Fourth Proportional to 214,362.40, 321,362.16 and 81,169.24

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Solution

The fourth proportional to 214,362.40, 321,362.16 and 81,169.24 is: 121,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,362.40 : 321,362.16 = 81,169.24 : x
  2. Step 2: Convert to fraction form
    214,362.40/321,362.16 = 81,169.24/x
  3. Step 3: Cross multiply
    214,362.40x = 321,362.16 × 81,169.24
  4. Step 4: Simplify right side
    214,362.40x = 26,084,722,291.96
  5. Step 5: Solve for x
    x = 26,084,722,291.96/214,362.40
  6. Step 6: Final answer
    x = 121,685.16

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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.