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Finding the Fourth Proportional to 165,393.84, 248,090.82 and 40,734.84

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Solution

The fourth proportional to 165,393.84, 248,090.82 and 40,734.84 is: 61,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,393.84 : 248,090.82 = 40,734.84 : x
  2. Step 2: Convert to fraction form
    165,393.84/248,090.82 = 40,734.84/x
  3. Step 3: Cross multiply
    165,393.84x = 248,090.82 × 40,734.84
  4. Step 4: Simplify right side
    165,393.84x = 10,105,939,858.17
  5. Step 5: Solve for x
    x = 10,105,939,858.17/165,393.84
  6. Step 6: Final answer
    x = 61,102.27

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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.