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Finding the Fourth Proportional to 214,021, 295,348.36 and 123,376.44

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Solution

The fourth proportional to 214,021, 295,348.36 and 123,376.44 is: 170,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,021 : 295,348.36 = 123,376.44 : x
  2. Step 2: Convert to fraction form
    214,021/295,348.36 = 123,376.44/x
  3. Step 3: Cross multiply
    214,021x = 295,348.36 × 123,376.44
  4. Step 4: Simplify right side
    214,021x = 36,439,029,216.64
  5. Step 5: Solve for x
    x = 36,439,029,216.64/214,021
  6. Step 6: Final answer
    x = 170,259.13

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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.