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Finding the Fourth Proportional to 146,706.33, 202,459.71 and 82,178.32

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Solution

The fourth proportional to 146,706.33, 202,459.71 and 82,178.32 is: 113,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,706.33 : 202,459.71 = 82,178.32 : x
  2. Step 2: Convert to fraction form
    146,706.33/202,459.71 = 82,178.32/x
  3. Step 3: Cross multiply
    146,706.33x = 202,459.71 × 82,178.32
  4. Step 4: Simplify right side
    146,706.33x = 16,637,797,918.45
  5. Step 5: Solve for x
    x = 16,637,797,918.45/146,706.33
  6. Step 6: Final answer
    x = 113,408.86

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