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Finding the Fourth Proportional to 201,231, 277,698.78 and 111,807

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Solution

The fourth proportional to 201,231, 277,698.78 and 111,807 is: 154,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231 : 277,698.78 = 111,807 : x
  2. Step 2: Convert to fraction form
    201,231/277,698.78 = 111,807/x
  3. Step 3: Cross multiply
    201,231x = 277,698.78 × 111,807
  4. Step 4: Simplify right side
    201,231x = 31,048,667,495.46
  5. Step 5: Solve for x
    x = 31,048,667,495.46/201,231
  6. Step 6: Final answer
    x = 154,293.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.