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Finding the Fourth Proportional to 165,899, 228,946.38 and 94,282.04

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Solution

The fourth proportional to 165,899, 228,946.38 and 94,282.04 is: 130,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,899 : 228,946.38 = 94,282.04 : x
  2. Step 2: Convert to fraction form
    165,899/228,946.38 = 94,282.04/x
  3. Step 3: Cross multiply
    165,899x = 228,946.38 × 94,282.04
  4. Step 4: Simplify right side
    165,899x = 21,585,531,757.02
  5. Step 5: Solve for x
    x = 21,585,531,757.02/165,899
  6. Step 6: Final answer
    x = 130,112.49

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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.