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Finding the Fourth Proportional to 241,466.27, 362,117.39 and 83,657.88

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Solution

The fourth proportional to 241,466.27, 362,117.39 and 83,657.88 is: 125,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,466.27 : 362,117.39 = 83,657.88 : x
  2. Step 2: Convert to fraction form
    241,466.27/362,117.39 = 83,657.88/x
  3. Step 3: Cross multiply
    241,466.27x = 362,117.39 × 83,657.88
  4. Step 4: Simplify right side
    241,466.27x = 30,293,972,740.24
  5. Step 5: Solve for x
    x = 30,293,972,740.24/241,466.27
  6. Step 6: Final answer
    x = 125,458.41

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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.