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Finding the Fourth Proportional to 214,092.35, 295,103.11 and 145,159.49

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Solution

The fourth proportional to 214,092.35, 295,103.11 and 145,159.49 is: 200,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,092.35 : 295,103.11 = 145,159.49 : x
  2. Step 2: Convert to fraction form
    214,092.35/295,103.11 = 145,159.49/x
  3. Step 3: Cross multiply
    214,092.35x = 295,103.11 × 145,159.49
  4. Step 4: Simplify right side
    214,092.35x = 42,837,017,864.22
  5. Step 5: Solve for x
    x = 42,837,017,864.22/214,092.35
  6. Step 6: Final answer
    x = 200,086.63

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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.