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Finding the Fourth Proportional to 201,137.72, 277,610.10 and 116,282.12

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Solution

The fourth proportional to 201,137.72, 277,610.10 and 116,282.12 is: 160,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,137.72 : 277,610.10 = 116,282.12 : x
  2. Step 2: Convert to fraction form
    201,137.72/277,610.10 = 116,282.12/x
  3. Step 3: Cross multiply
    201,137.72x = 277,610.10 × 116,282.12
  4. Step 4: Simplify right side
    201,137.72x = 32,281,090,961.41
  5. Step 5: Solve for x
    x = 32,281,090,961.41/201,137.72
  6. Step 6: Final answer
    x = 160,492.48

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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.