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Finding the Fourth Proportional to 146,871.55, 202,664.82 and 82,325.89

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Solution

The fourth proportional to 146,871.55, 202,664.82 and 82,325.89 is: 113,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,871.55 : 202,664.82 = 82,325.89 : x
  2. Step 2: Convert to fraction form
    146,871.55/202,664.82 = 82,325.89/x
  3. Step 3: Cross multiply
    146,871.55x = 202,664.82 × 82,325.89
  4. Step 4: Simplify right side
    146,871.55x = 16,684,561,678.19
  5. Step 5: Solve for x
    x = 16,684,561,678.19/146,871.55
  6. Step 6: Final answer
    x = 113,599.68

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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.