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Finding the Fourth Proportional to 149,914.60, 224,612.70 and 70,858.60

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Solution

The fourth proportional to 149,914.60, 224,612.70 and 70,858.60 is: 106,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,914.60 : 224,612.70 = 70,858.60 : x
  2. Step 2: Convert to fraction form
    149,914.60/224,612.70 = 70,858.60/x
  3. Step 3: Cross multiply
    149,914.60x = 224,612.70 × 70,858.60
  4. Step 4: Simplify right side
    149,914.60x = 15,915,741,464.22
  5. Step 5: Solve for x
    x = 15,915,741,464.22/149,914.60
  6. Step 6: Final answer
    x = 106,165.39

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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.