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Finding the Fourth Proportional to 201,176.65, 277,647.92 and 120,648.48

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Solution

The fourth proportional to 201,176.65, 277,647.92 and 120,648.48 is: 166,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,176.65 : 277,647.92 = 120,648.48 : x
  2. Step 2: Convert to fraction form
    201,176.65/277,647.92 = 120,648.48/x
  3. Step 3: Cross multiply
    201,176.65x = 277,647.92 × 120,648.48
  4. Step 4: Simplify right side
    201,176.65x = 33,497,799,523.16
  5. Step 5: Solve for x
    x = 33,497,799,523.16/201,176.65
  6. Step 6: Final answer
    x = 166,509.38

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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.