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Finding the Fourth Proportional to 148,015.76, 221,926.03 and 53,198.37

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Solution

The fourth proportional to 148,015.76, 221,926.03 and 53,198.37 is: 79,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,015.76 : 221,926.03 = 53,198.37 : x
  2. Step 2: Convert to fraction form
    148,015.76/221,926.03 = 53,198.37/x
  3. Step 3: Cross multiply
    148,015.76x = 221,926.03 × 53,198.37
  4. Step 4: Simplify right side
    148,015.76x = 11,806,102,923.58
  5. Step 5: Solve for x
    x = 11,806,102,923.58/148,015.76
  6. Step 6: Final answer
    x = 79,762.47

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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.