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Finding the Fourth Proportional to 148,652.91, 205,311.44 and 97,892.64

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Solution

The fourth proportional to 148,652.91, 205,311.44 and 97,892.64 is: 135,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,652.91 : 205,311.44 = 97,892.64 : x
  2. Step 2: Convert to fraction form
    148,652.91/205,311.44 = 97,892.64/x
  3. Step 3: Cross multiply
    148,652.91x = 205,311.44 × 97,892.64
  4. Step 4: Simplify right side
    148,652.91x = 20,098,479,128.53
  5. Step 5: Solve for x
    x = 20,098,479,128.53/148,652.91
  6. Step 6: Final answer
    x = 135,204.07

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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.