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Finding the Fourth Proportional to 202,355.79, 279,243.65 and 111,709.80

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Solution

The fourth proportional to 202,355.79, 279,243.65 and 111,709.80 is: 154,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,355.79 : 279,243.65 = 111,709.80 : x
  2. Step 2: Convert to fraction form
    202,355.79/279,243.65 = 111,709.80/x
  3. Step 3: Cross multiply
    202,355.79x = 279,243.65 × 111,709.80
  4. Step 4: Simplify right side
    202,355.79x = 31,194,252,292.77
  5. Step 5: Solve for x
    x = 31,194,252,292.77/202,355.79
  6. Step 6: Final answer
    x = 154,155.47

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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.