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Finding the Fourth Proportional to 201,193.92, 277,653.60 and 111,768

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Solution

The fourth proportional to 201,193.92, 277,653.60 and 111,768 is: 154,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,193.92 : 277,653.60 = 111,768 : x
  2. Step 2: Convert to fraction form
    201,193.92/277,653.60 = 111,768/x
  3. Step 3: Cross multiply
    201,193.92x = 277,653.60 × 111,768
  4. Step 4: Simplify right side
    201,193.92x = 31,032,787,564.80
  5. Step 5: Solve for x
    x = 31,032,787,564.80/201,193.92
  6. Step 6: Final answer
    x = 154,243.17

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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.