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Finding the Fourth Proportional to 148,800.56, 205,204.20 and 97,723.28

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Solution

The fourth proportional to 148,800.56, 205,204.20 and 97,723.28 is: 134,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,800.56 : 205,204.20 = 97,723.28 : x
  2. Step 2: Convert to fraction form
    148,800.56/205,204.20 = 97,723.28/x
  3. Step 3: Cross multiply
    148,800.56x = 205,204.20 × 97,723.28
  4. Step 4: Simplify right side
    148,800.56x = 20,053,227,493.78
  5. Step 5: Solve for x
    x = 20,053,227,493.78/148,800.56
  6. Step 6: Final answer
    x = 134,765.81

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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.