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Finding the Fourth Proportional to 201,233.94, 277,579.32 and 119,506.68

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Solution

The fourth proportional to 201,233.94, 277,579.32 and 119,506.68 is: 164,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,233.94 : 277,579.32 = 119,506.68 : x
  2. Step 2: Convert to fraction form
    201,233.94/277,579.32 = 119,506.68/x
  3. Step 3: Cross multiply
    201,233.94x = 277,579.32 × 119,506.68
  4. Step 4: Simplify right side
    201,233.94x = 33,172,582,969.86
  5. Step 5: Solve for x
    x = 33,172,582,969.86/201,233.94
  6. Step 6: Final answer
    x = 164,845.87

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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.