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Finding the Fourth Proportional to 201,883.51, 278,599.26 and 117,049.78

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Solution

The fourth proportional to 201,883.51, 278,599.26 and 117,049.78 is: 161,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,883.51 : 278,599.26 = 117,049.78 : x
  2. Step 2: Convert to fraction form
    201,883.51/278,599.26 = 117,049.78/x
  3. Step 3: Cross multiply
    201,883.51x = 278,599.26 × 117,049.78
  4. Step 4: Simplify right side
    201,883.51x = 32,609,982,091.16
  5. Step 5: Solve for x
    x = 32,609,982,091.16/201,883.51
  6. Step 6: Final answer
    x = 161,528.71

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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.