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Finding the Fourth Proportional to 144,505.12, 199,485.24 and 108,708.76

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Solution

The fourth proportional to 144,505.12, 199,485.24 and 108,708.76 is: 150,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,505.12 : 199,485.24 = 108,708.76 : x
  2. Step 2: Convert to fraction form
    144,505.12/199,485.24 = 108,708.76/x
  3. Step 3: Cross multiply
    144,505.12x = 199,485.24 × 108,708.76
  4. Step 4: Simplify right side
    144,505.12x = 21,685,793,078.70
  5. Step 5: Solve for x
    x = 21,685,793,078.70/144,505.12
  6. Step 6: Final answer
    x = 150,069.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.