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Finding the Fourth Proportional to 165,902.64, 248,854.90 and 41,243.64

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Solution

The fourth proportional to 165,902.64, 248,854.90 and 41,243.64 is: 61,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,902.64 : 248,854.90 = 41,243.64 : x
  2. Step 2: Convert to fraction form
    165,902.64/248,854.90 = 41,243.64/x
  3. Step 3: Cross multiply
    165,902.64x = 248,854.90 × 41,243.64
  4. Step 4: Simplify right side
    165,902.64x = 10,263,681,907.84
  5. Step 5: Solve for x
    x = 10,263,681,907.84/165,902.64
  6. Step 6: Final answer
    x = 61,865.69

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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.