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Finding the Fourth Proportional to 149,109.60, 223,599.60 and 49,231.20

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Solution

The fourth proportional to 149,109.60, 223,599.60 and 49,231.20 is: 73,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,109.60 : 223,599.60 = 49,231.20 : x
  2. Step 2: Convert to fraction form
    149,109.60/223,599.60 = 49,231.20/x
  3. Step 3: Cross multiply
    149,109.60x = 223,599.60 × 49,231.20
  4. Step 4: Simplify right side
    149,109.60x = 11,008,076,627.52
  5. Step 5: Solve for x
    x = 11,008,076,627.52/149,109.60
  6. Step 6: Final answer
    x = 73,825.41

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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.