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Finding the Fourth Proportional to 156,202.56, 234,304.32 and 73,154.88

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Solution

The fourth proportional to 156,202.56, 234,304.32 and 73,154.88 is: 109,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,202.56 : 234,304.32 = 73,154.88 : x
  2. Step 2: Convert to fraction form
    156,202.56/234,304.32 = 73,154.88/x
  3. Step 3: Cross multiply
    156,202.56x = 234,304.32 × 73,154.88
  4. Step 4: Simplify right side
    156,202.56x = 17,140,504,413.08
  5. Step 5: Solve for x
    x = 17,140,504,413.08/156,202.56
  6. Step 6: Final answer
    x = 109,732.54

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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.