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Finding the Fourth Proportional to 241,286.90, 362,071.47 and 101,033.78

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Solution

The fourth proportional to 241,286.90, 362,071.47 and 101,033.78 is: 151,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,286.90 : 362,071.47 = 101,033.78 : x
  2. Step 2: Convert to fraction form
    241,286.90/362,071.47 = 101,033.78/x
  3. Step 3: Cross multiply
    241,286.90x = 362,071.47 × 101,033.78
  4. Step 4: Simplify right side
    241,286.90x = 36,581,449,244.26
  5. Step 5: Solve for x
    x = 36,581,449,244.26/241,286.90
  6. Step 6: Final answer
    x = 151,609.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.