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Finding the Fourth Proportional to 83,434.80, 117,042 and 83,434.80

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Solution

The fourth proportional to 83,434.80, 117,042 and 83,434.80 is: 117,042

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,434.80 : 117,042 = 83,434.80 : x
  2. Step 2: Convert to fraction form
    83,434.80/117,042 = 83,434.80/x
  3. Step 3: Cross multiply
    83,434.80x = 117,042 × 83,434.80
  4. Step 4: Simplify right side
    83,434.80x = 9,765,375,861.60
  5. Step 5: Solve for x
    x = 9,765,375,861.60/83,434.80
  6. Step 6: Final answer
    x = 117,042

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.