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Finding the Fourth Proportional to 202,400.75, 279,317.48 and 111,756.47

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Solution

The fourth proportional to 202,400.75, 279,317.48 and 111,756.47 is: 154,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,400.75 : 279,317.48 = 111,756.47 : x
  2. Step 2: Convert to fraction form
    202,400.75/279,317.48 = 111,756.47/x
  3. Step 3: Cross multiply
    202,400.75x = 279,317.48 × 111,756.47
  4. Step 4: Simplify right side
    202,400.75x = 31,215,535,015.31
  5. Step 5: Solve for x
    x = 31,215,535,015.31/202,400.75
  6. Step 6: Final answer
    x = 154,226.38

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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.