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Finding the Fourth Proportional to 263,824, 364,100.16 and 144,615.04

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Solution

The fourth proportional to 263,824, 364,100.16 and 144,615.04 is: 199,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,824 : 364,100.16 = 144,615.04 : x
  2. Step 2: Convert to fraction form
    263,824/364,100.16 = 144,615.04/x
  3. Step 3: Cross multiply
    263,824x = 364,100.16 × 144,615.04
  4. Step 4: Simplify right side
    263,824x = 52,654,359,202.41
  5. Step 5: Solve for x
    x = 52,654,359,202.41/263,824
  6. Step 6: Final answer
    x = 199,581.38

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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.