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Finding the Fourth Proportional to 142,894.33, 214,169.57 and 52,865.26

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Solution

The fourth proportional to 142,894.33, 214,169.57 and 52,865.26 is: 79,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,894.33 : 214,169.57 = 52,865.26 : x
  2. Step 2: Convert to fraction form
    142,894.33/214,169.57 = 52,865.26/x
  3. Step 3: Cross multiply
    142,894.33x = 214,169.57 × 52,865.26
  4. Step 4: Simplify right side
    142,894.33x = 11,322,129,400.63
  5. Step 5: Solve for x
    x = 11,322,129,400.63/142,894.33
  6. Step 6: Final answer
    x = 79,234.28

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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.