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Finding the Fourth Proportional to 144,917.22, 199,775.79 and 101,765.28

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Solution

The fourth proportional to 144,917.22, 199,775.79 and 101,765.28 is: 140,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,917.22 : 199,775.79 = 101,765.28 : x
  2. Step 2: Convert to fraction form
    144,917.22/199,775.79 = 101,765.28/x
  3. Step 3: Cross multiply
    144,917.22x = 199,775.79 × 101,765.28
  4. Step 4: Simplify right side
    144,917.22x = 20,330,239,206.57
  5. Step 5: Solve for x
    x = 20,330,239,206.57/144,917.22
  6. Step 6: Final answer
    x = 140,288.64

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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.