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Finding the Fourth Proportional to 234,841.43, 324,077.10 and 142,927.44

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Solution

The fourth proportional to 234,841.43, 324,077.10 and 142,927.44 is: 197,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,841.43 : 324,077.10 = 142,927.44 : x
  2. Step 2: Convert to fraction form
    234,841.43/324,077.10 = 142,927.44/x
  3. Step 3: Cross multiply
    234,841.43x = 324,077.10 × 142,927.44
  4. Step 4: Simplify right side
    234,841.43x = 46,319,509,318.32
  5. Step 5: Solve for x
    x = 46,319,509,318.32/234,841.43
  6. Step 6: Final answer
    x = 197,237.39

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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.