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Finding the Fourth Proportional to 201,391.29, 277,914.11 and 110,747.16

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Solution

The fourth proportional to 201,391.29, 277,914.11 and 110,747.16 is: 152,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,391.29 : 277,914.11 = 110,747.16 : x
  2. Step 2: Convert to fraction form
    201,391.29/277,914.11 = 110,747.16/x
  3. Step 3: Cross multiply
    201,391.29x = 277,914.11 × 110,747.16
  4. Step 4: Simplify right side
    201,391.29x = 30,778,197,852.69
  5. Step 5: Solve for x
    x = 30,778,197,852.69/201,391.29
  6. Step 6: Final answer
    x = 152,827.85

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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.