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Finding the Fourth Proportional to 145,672.94, 201,026.43 and 82,010.54

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Solution

The fourth proportional to 145,672.94, 201,026.43 and 82,010.54 is: 113,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,672.94 : 201,026.43 = 82,010.54 : x
  2. Step 2: Convert to fraction form
    145,672.94/201,026.43 = 82,010.54/x
  3. Step 3: Cross multiply
    145,672.94x = 201,026.43 × 82,010.54
  4. Step 4: Simplify right side
    145,672.94x = 16,486,286,078.57
  5. Step 5: Solve for x
    x = 16,486,286,078.57/145,672.94
  6. Step 6: Final answer
    x = 113,173.29

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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.