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Finding the Fourth Proportional to 149,844.60, 224,110.80 and 114,415.20

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Solution

The fourth proportional to 149,844.60, 224,110.80 and 114,415.20 is: 171,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,844.60 : 224,110.80 = 114,415.20 : x
  2. Step 2: Convert to fraction form
    149,844.60/224,110.80 = 114,415.20/x
  3. Step 3: Cross multiply
    149,844.60x = 224,110.80 × 114,415.20
  4. Step 4: Simplify right side
    149,844.60x = 25,641,682,004.16
  5. Step 5: Solve for x
    x = 25,641,682,004.16/149,844.60
  6. Step 6: Final answer
    x = 171,121.83

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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.