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Finding the Fourth Proportional to 214,204, 295,232.32 and 142,455.68

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Solution

The fourth proportional to 214,204, 295,232.32 and 142,455.68 is: 196,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,204 : 295,232.32 = 142,455.68 : x
  2. Step 2: Convert to fraction form
    214,204/295,232.32 = 142,455.68/x
  3. Step 3: Cross multiply
    214,204x = 295,232.32 × 142,455.68
  4. Step 4: Simplify right side
    214,204x = 42,057,520,903.58
  5. Step 5: Solve for x
    x = 42,057,520,903.58/214,204
  6. Step 6: Final answer
    x = 196,343.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.