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Finding the Fourth Proportional to 149,952.88, 224,903.40 and 44,743.60

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Solution

The fourth proportional to 149,952.88, 224,903.40 and 44,743.60 is: 67,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,952.88 : 224,903.40 = 44,743.60 : x
  2. Step 2: Convert to fraction form
    149,952.88/224,903.40 = 44,743.60/x
  3. Step 3: Cross multiply
    149,952.88x = 224,903.40 × 44,743.60
  4. Step 4: Simplify right side
    149,952.88x = 10,062,987,768.24
  5. Step 5: Solve for x
    x = 10,062,987,768.24/149,952.88
  6. Step 6: Final answer
    x = 67,107.67

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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.