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Finding the Fourth Proportional to 125,596.20, 188,831.70 and 106,350.60

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Solution

The fourth proportional to 125,596.20, 188,831.70 and 106,350.60 is: 159,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,596.20 : 188,831.70 = 106,350.60 : x
  2. Step 2: Convert to fraction form
    125,596.20/188,831.70 = 106,350.60/x
  3. Step 3: Cross multiply
    125,596.20x = 188,831.70 × 106,350.60
  4. Step 4: Simplify right side
    125,596.20x = 20,082,364,594.02
  5. Step 5: Solve for x
    x = 20,082,364,594.02/125,596.20
  6. Step 6: Final answer
    x = 159,896.28

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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.