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Finding the Fourth Proportional to 114,911.26, 172,319.73 and 43,859.77

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Solution

The fourth proportional to 114,911.26, 172,319.73 and 43,859.77 is: 65,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,911.26 : 172,319.73 = 43,859.77 : x
  2. Step 2: Convert to fraction form
    114,911.26/172,319.73 = 43,859.77/x
  3. Step 3: Cross multiply
    114,911.26x = 172,319.73 × 43,859.77
  4. Step 4: Simplify right side
    114,911.26x = 7,557,903,724.26
  5. Step 5: Solve for x
    x = 7,557,903,724.26/114,911.26
  6. Step 6: Final answer
    x = 65,771.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.