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Finding the Fourth Proportional to 202,238.87, 279,089.30 and 111,594.76

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Solution

The fourth proportional to 202,238.87, 279,089.30 and 111,594.76 is: 154,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,238.87 : 279,089.30 = 111,594.76 : x
  2. Step 2: Convert to fraction form
    202,238.87/279,089.30 = 111,594.76/x
  3. Step 3: Cross multiply
    202,238.87x = 279,089.30 × 111,594.76
  4. Step 4: Simplify right side
    202,238.87x = 31,144,903,452.07
  5. Step 5: Solve for x
    x = 31,144,903,452.07/202,238.87
  6. Step 6: Final answer
    x = 154,000.58

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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.