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Finding the Fourth Proportional to 106,428.84, 146,878.41 and 58,682.11

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Solution

The fourth proportional to 106,428.84, 146,878.41 and 58,682.11 is: 80,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,428.84 : 146,878.41 = 58,682.11 : x
  2. Step 2: Convert to fraction form
    106,428.84/146,878.41 = 58,682.11/x
  3. Step 3: Cross multiply
    106,428.84x = 146,878.41 × 58,682.11
  4. Step 4: Simplify right side
    106,428.84x = 8,619,135,012.25
  5. Step 5: Solve for x
    x = 8,619,135,012.25/106,428.84
  6. Step 6: Final answer
    x = 80,984.96

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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.