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Finding the Fourth Proportional to 146,476, 202,158.44 and 92,766

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Solution

The fourth proportional to 146,476, 202,158.44 and 92,766 is: 128,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,476 : 202,158.44 = 92,766 : x
  2. Step 2: Convert to fraction form
    146,476/202,158.44 = 92,766/x
  3. Step 3: Cross multiply
    146,476x = 202,158.44 × 92,766
  4. Step 4: Simplify right side
    146,476x = 18,753,429,845.04
  5. Step 5: Solve for x
    x = 18,753,429,845.04/146,476
  6. Step 6: Final answer
    x = 128,030.73

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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.