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Finding the Fourth Proportional to 142,188.62, 213,304.73 and 53,448.26

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Solution

The fourth proportional to 142,188.62, 213,304.73 and 53,448.26 is: 80,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,188.62 : 213,304.73 = 53,448.26 : x
  2. Step 2: Convert to fraction form
    142,188.62/213,304.73 = 53,448.26/x
  3. Step 3: Cross multiply
    142,188.62x = 213,304.73 × 53,448.26
  4. Step 4: Simplify right side
    142,188.62x = 11,400,765,334.50
  5. Step 5: Solve for x
    x = 11,400,765,334.50/142,188.62
  6. Step 6: Final answer
    x = 80,180.58

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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.