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Finding the Fourth Proportional to 201,590.88, 278,189.81 and 114,391.86

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Solution

The fourth proportional to 201,590.88, 278,189.81 and 114,391.86 is: 157,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,590.88 : 278,189.81 = 114,391.86 : x
  2. Step 2: Convert to fraction form
    201,590.88/278,189.81 = 114,391.86/x
  3. Step 3: Cross multiply
    201,590.88x = 278,189.81 × 114,391.86
  4. Step 4: Simplify right side
    201,590.88x = 31,822,649,798.95
  5. Step 5: Solve for x
    x = 31,822,649,798.95/201,590.88
  6. Step 6: Final answer
    x = 157,857.59

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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.