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Finding the Fourth Proportional to 202,904.44, 280,010.16 and 111,021.95

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Solution

The fourth proportional to 202,904.44, 280,010.16 and 111,021.95 is: 153,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,904.44 : 280,010.16 = 111,021.95 : x
  2. Step 2: Convert to fraction form
    202,904.44/280,010.16 = 111,021.95/x
  3. Step 3: Cross multiply
    202,904.44x = 280,010.16 × 111,021.95
  4. Step 4: Simplify right side
    202,904.44x = 31,087,274,683.04
  5. Step 5: Solve for x
    x = 31,087,274,683.04/202,904.44
  6. Step 6: Final answer
    x = 153,211.41

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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.