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Finding the Fourth Proportional to 201,083.72, 277,464.69 and 116,184.38

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Solution

The fourth proportional to 201,083.72, 277,464.69 and 116,184.38 is: 160,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,083.72 : 277,464.69 = 116,184.38 : x
  2. Step 2: Convert to fraction form
    201,083.72/277,464.69 = 116,184.38/x
  3. Step 3: Cross multiply
    201,083.72x = 277,464.69 × 116,184.38
  4. Step 4: Simplify right side
    201,083.72x = 32,237,061,592.22
  5. Step 5: Solve for x
    x = 32,237,061,592.22/201,083.72
  6. Step 6: Final answer
    x = 160,316.62

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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.