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Finding the Fourth Proportional to 222,784.24, 334,170.84 and 65,014.08

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Solution

The fourth proportional to 222,784.24, 334,170.84 and 65,014.08 is: 97,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,784.24 : 334,170.84 = 65,014.08 : x
  2. Step 2: Convert to fraction form
    222,784.24/334,170.84 = 65,014.08/x
  3. Step 3: Cross multiply
    222,784.24x = 334,170.84 × 65,014.08
  4. Step 4: Simplify right side
    222,784.24x = 21,725,809,725.43
  5. Step 5: Solve for x
    x = 21,725,809,725.43/222,784.24
  6. Step 6: Final answer
    x = 97,519.51

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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.