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Finding the Fourth Proportional to 149,894.40, 224,812.80 and 44,716.80

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Solution

The fourth proportional to 149,894.40, 224,812.80 and 44,716.80 is: 67,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,894.40 : 224,812.80 = 44,716.80 : x
  2. Step 2: Convert to fraction form
    149,894.40/224,812.80 = 44,716.80/x
  3. Step 3: Cross multiply
    149,894.40x = 224,812.80 × 44,716.80
  4. Step 4: Simplify right side
    149,894.40x = 10,052,909,015.04
  5. Step 5: Solve for x
    x = 10,052,909,015.04/149,894.40
  6. Step 6: Final answer
    x = 67,066.61

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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.