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Finding the Fourth Proportional to 106,150.44, 159,148.44 and 53,597.28

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Solution

The fourth proportional to 106,150.44, 159,148.44 and 53,597.28 is: 80,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,150.44 : 159,148.44 = 53,597.28 : x
  2. Step 2: Convert to fraction form
    106,150.44/159,148.44 = 53,597.28/x
  3. Step 3: Cross multiply
    106,150.44x = 159,148.44 × 53,597.28
  4. Step 4: Simplify right side
    106,150.44x = 8,529,923,500.24
  5. Step 5: Solve for x
    x = 8,529,923,500.24/106,150.44
  6. Step 6: Final answer
    x = 80,356.93

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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.