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Finding the Fourth Proportional to 142,708.62, 214,063.44 and 47,936.10

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Solution

The fourth proportional to 142,708.62, 214,063.44 and 47,936.10 is: 71,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,708.62 : 214,063.44 = 47,936.10 : x
  2. Step 2: Convert to fraction form
    142,708.62/214,063.44 = 47,936.10/x
  3. Step 3: Cross multiply
    142,708.62x = 214,063.44 × 47,936.10
  4. Step 4: Simplify right side
    142,708.62x = 10,261,365,395.87
  5. Step 5: Solve for x
    x = 10,261,365,395.87/142,708.62
  6. Step 6: Final answer
    x = 71,904.31

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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.