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Finding the Fourth Proportional to 214,676.80, 296,255.28 and 117,884.80

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Solution

The fourth proportional to 214,676.80, 296,255.28 and 117,884.80 is: 162,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,676.80 : 296,255.28 = 117,884.80 : x
  2. Step 2: Convert to fraction form
    214,676.80/296,255.28 = 117,884.80/x
  3. Step 3: Cross multiply
    214,676.80x = 296,255.28 × 117,884.80
  4. Step 4: Simplify right side
    214,676.80x = 34,923,994,431.74
  5. Step 5: Solve for x
    x = 34,923,994,431.74/214,676.80
  6. Step 6: Final answer
    x = 162,681.74

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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.