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Finding the Fourth Proportional to 101,300.80, 151,951.20 and 31,201.60

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Solution

The fourth proportional to 101,300.80, 151,951.20 and 31,201.60 is: 46,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,300.80 : 151,951.20 = 31,201.60 : x
  2. Step 2: Convert to fraction form
    101,300.80/151,951.20 = 31,201.60/x
  3. Step 3: Cross multiply
    101,300.80x = 151,951.20 × 31,201.60
  4. Step 4: Simplify right side
    101,300.80x = 4,741,120,561.92
  5. Step 5: Solve for x
    x = 4,741,120,561.92/101,300.80
  6. Step 6: Final answer
    x = 46,802.40

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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.