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Finding the Fourth Proportional to 101,414.40, 152,121.60 and 100,831.20

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Solution

The fourth proportional to 101,414.40, 152,121.60 and 100,831.20 is: 151,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414.40 : 152,121.60 = 100,831.20 : x
  2. Step 2: Convert to fraction form
    101,414.40/152,121.60 = 100,831.20/x
  3. Step 3: Cross multiply
    101,414.40x = 152,121.60 × 100,831.20
  4. Step 4: Simplify right side
    101,414.40x = 15,338,603,473.92
  5. Step 5: Solve for x
    x = 15,338,603,473.92/101,414.40
  6. Step 6: Final answer
    x = 151,246.80

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1.5x scale

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.