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Finding the Fourth Proportional to 145,738.44, 201,125.16 and 82,076.04

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Solution

The fourth proportional to 145,738.44, 201,125.16 and 82,076.04 is: 113,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,738.44 : 201,125.16 = 82,076.04 : x
  2. Step 2: Convert to fraction form
    145,738.44/201,125.16 = 82,076.04/x
  3. Step 3: Cross multiply
    145,738.44x = 201,125.16 × 82,076.04
  4. Step 4: Simplify right side
    145,738.44x = 16,507,556,677.17
  5. Step 5: Solve for x
    x = 16,507,556,677.17/145,738.44
  6. Step 6: Final answer
    x = 113,268.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.