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Finding the Fourth Proportional to 201,212.67, 277,396.04 and 160,514.93

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Solution

The fourth proportional to 201,212.67, 277,396.04 and 160,514.93 is: 221,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212.67 : 277,396.04 = 160,514.93 : x
  2. Step 2: Convert to fraction form
    201,212.67/277,396.04 = 160,514.93/x
  3. Step 3: Cross multiply
    201,212.67x = 277,396.04 × 160,514.93
  4. Step 4: Simplify right side
    201,212.67x = 44,526,205,134.54
  5. Step 5: Solve for x
    x = 44,526,205,134.54/201,212.67
  6. Step 6: Final answer
    x = 221,289.27

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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.