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Finding the Fourth Proportional to 201,965.15, 278,713.86 and 111,324.67

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Solution

The fourth proportional to 201,965.15, 278,713.86 and 111,324.67 is: 153,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,965.15 : 278,713.86 = 111,324.67 : x
  2. Step 2: Convert to fraction form
    201,965.15/278,713.86 = 111,324.67/x
  3. Step 3: Cross multiply
    201,965.15x = 278,713.86 × 111,324.67
  4. Step 4: Simplify right side
    201,965.15x = 31,027,727,095.36
  5. Step 5: Solve for x
    x = 31,027,727,095.36/201,965.15
  6. Step 6: Final answer
    x = 153,629.11

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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.