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Finding the Fourth Proportional to 142,843.26, 214,267.92 and 48,076.32

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Solution

The fourth proportional to 142,843.26, 214,267.92 and 48,076.32 is: 72,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,843.26 : 214,267.92 = 48,076.32 : x
  2. Step 2: Convert to fraction form
    142,843.26/214,267.92 = 48,076.32/x
  3. Step 3: Cross multiply
    142,843.26x = 214,267.92 × 48,076.32
  4. Step 4: Simplify right side
    142,843.26x = 10,301,213,087.65
  5. Step 5: Solve for x
    x = 10,301,213,087.65/142,843.26
  6. Step 6: Final answer
    x = 72,115.50

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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.