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Finding the Fourth Proportional to 241,693.40, 362,540.10 and 83,905.40

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Solution

The fourth proportional to 241,693.40, 362,540.10 and 83,905.40 is: 125,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,693.40 : 362,540.10 = 83,905.40 : x
  2. Step 2: Convert to fraction form
    241,693.40/362,540.10 = 83,905.40/x
  3. Step 3: Cross multiply
    241,693.40x = 362,540.10 × 83,905.40
  4. Step 4: Simplify right side
    241,693.40x = 30,419,072,106.54
  5. Step 5: Solve for x
    x = 30,419,072,106.54/241,693.40
  6. Step 6: Final answer
    x = 125,858.10

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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.