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Finding the Fourth Proportional to 241,862.76, 362,820.60 and 82,054.08

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Solution

The fourth proportional to 241,862.76, 362,820.60 and 82,054.08 is: 123,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,862.76 : 362,820.60 = 82,054.08 : x
  2. Step 2: Convert to fraction form
    241,862.76/362,820.60 = 82,054.08/x
  3. Step 3: Cross multiply
    241,862.76x = 362,820.60 × 82,054.08
  4. Step 4: Simplify right side
    241,862.76x = 29,770,910,538.05
  5. Step 5: Solve for x
    x = 29,770,910,538.05/241,862.76
  6. Step 6: Final answer
    x = 123,090.10

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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.