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Finding the Fourth Proportional to 214,042.70, 295,383.84 and 117,255.80

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Solution

The fourth proportional to 214,042.70, 295,383.84 and 117,255.80 is: 161,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,042.70 : 295,383.84 = 117,255.80 : x
  2. Step 2: Convert to fraction form
    214,042.70/295,383.84 = 117,255.80/x
  3. Step 3: Cross multiply
    214,042.70x = 295,383.84 × 117,255.80
  4. Step 4: Simplify right side
    214,042.70x = 34,635,468,466.27
  5. Step 5: Solve for x
    x = 34,635,468,466.27/214,042.70
  6. Step 6: Final answer
    x = 161,815.70

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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.