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Finding the Fourth Proportional to 214,397.91, 295,922.89 and 145,603.78

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Solution

The fourth proportional to 214,397.91, 295,922.89 and 145,603.78 is: 200,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,397.91 : 295,922.89 = 145,603.78 : x
  2. Step 2: Convert to fraction form
    214,397.91/295,922.89 = 145,603.78/x
  3. Step 3: Cross multiply
    214,397.91x = 295,922.89 × 145,603.78
  4. Step 4: Simplify right side
    214,397.91x = 43,087,489,995.70
  5. Step 5: Solve for x
    x = 43,087,489,995.70/214,397.91
  6. Step 6: Final answer
    x = 200,969.73

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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.