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Finding the Fourth Proportional to 165,884.58, 248,826.87 and 41,225.58

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Solution

The fourth proportional to 165,884.58, 248,826.87 and 41,225.58 is: 61,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,884.58 : 248,826.87 = 41,225.58 : x
  2. Step 2: Convert to fraction form
    165,884.58/248,826.87 = 41,225.58/x
  3. Step 3: Cross multiply
    165,884.58x = 248,826.87 × 41,225.58
  4. Step 4: Simplify right side
    165,884.58x = 10,258,032,035.33
  5. Step 5: Solve for x
    x = 10,258,032,035.33/165,884.58
  6. Step 6: Final answer
    x = 61,838.37

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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.