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Finding the Fourth Proportional to 148,664.20, 223,025.10 and 64,424.20

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Solution

The fourth proportional to 148,664.20, 223,025.10 and 64,424.20 is: 96,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,664.20 : 223,025.10 = 64,424.20 : x
  2. Step 2: Convert to fraction form
    148,664.20/223,025.10 = 64,424.20/x
  3. Step 3: Cross multiply
    148,664.20x = 223,025.10 × 64,424.20
  4. Step 4: Simplify right side
    148,664.20x = 14,368,213,647.42
  5. Step 5: Solve for x
    x = 14,368,213,647.42/148,664.20
  6. Step 6: Final answer
    x = 96,648.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.