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Finding the Fourth Proportional to 201,382.65, 277,898.55 and 110,742.44

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Solution

The fourth proportional to 201,382.65, 277,898.55 and 110,742.44 is: 152,819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,382.65 : 277,898.55 = 110,742.44 : x
  2. Step 2: Convert to fraction form
    201,382.65/277,898.55 = 110,742.44/x
  3. Step 3: Cross multiply
    201,382.65x = 277,898.55 × 110,742.44
  4. Step 4: Simplify right side
    201,382.65x = 30,775,161,694.69
  5. Step 5: Solve for x
    x = 30,775,161,694.69/201,382.65
  6. Step 6: Final answer
    x = 152,819.33

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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.