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Finding the Fourth Proportional to 201,096.63, 277,516.79 and 110,456.41

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Solution

The fourth proportional to 201,096.63, 277,516.79 and 110,456.41 is: 152,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,096.63 : 277,516.79 = 110,456.41 : x
  2. Step 2: Convert to fraction form
    201,096.63/277,516.79 = 110,456.41/x
  3. Step 3: Cross multiply
    201,096.63x = 277,516.79 × 110,456.41
  4. Step 4: Simplify right side
    201,096.63x = 30,653,508,338.12
  5. Step 5: Solve for x
    x = 30,653,508,338.12/201,096.63
  6. Step 6: Final answer
    x = 152,431.74

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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.