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Finding the Fourth Proportional to 170,073.84, 234,677.13 and 102,076.38

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Solution

The fourth proportional to 170,073.84, 234,677.13 and 102,076.38 is: 140,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,073.84 : 234,677.13 = 102,076.38 : x
  2. Step 2: Convert to fraction form
    170,073.84/234,677.13 = 102,076.38/x
  3. Step 3: Cross multiply
    170,073.84x = 234,677.13 × 102,076.38
  4. Step 4: Simplify right side
    170,073.84x = 23,954,991,899.19
  5. Step 5: Solve for x
    x = 23,954,991,899.19/170,073.84
  6. Step 6: Final answer
    x = 140,850.54

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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.