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Finding the Fourth Proportional to 202,559.22, 279,525.87 and 111,913.38

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Solution

The fourth proportional to 202,559.22, 279,525.87 and 111,913.38 is: 154,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,559.22 : 279,525.87 = 111,913.38 : x
  2. Step 2: Convert to fraction form
    202,559.22/279,525.87 = 111,913.38/x
  3. Step 3: Cross multiply
    202,559.22x = 279,525.87 × 111,913.38
  4. Step 4: Simplify right side
    202,559.22x = 31,282,684,909.14
  5. Step 5: Solve for x
    x = 31,282,684,909.14/202,559.22
  6. Step 6: Final answer
    x = 154,437.23

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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.