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Finding the Fourth Proportional to 150,464.88, 225,671.40 and 45,255.60

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Solution

The fourth proportional to 150,464.88, 225,671.40 and 45,255.60 is: 67,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,464.88 : 225,671.40 = 45,255.60 : x
  2. Step 2: Convert to fraction form
    150,464.88/225,671.40 = 45,255.60/x
  3. Step 3: Cross multiply
    150,464.88x = 225,671.40 × 45,255.60
  4. Step 4: Simplify right side
    150,464.88x = 10,212,894,609.84
  5. Step 5: Solve for x
    x = 10,212,894,609.84/150,464.88
  6. Step 6: Final answer
    x = 67,875.60

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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.