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Finding the Fourth Proportional to 203,792.10, 305,918.55 and 157,251.30

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Solution

The fourth proportional to 203,792.10, 305,918.55 and 157,251.30 is: 236,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,792.10 : 305,918.55 = 157,251.30 : x
  2. Step 2: Convert to fraction form
    203,792.10/305,918.55 = 157,251.30/x
  3. Step 3: Cross multiply
    203,792.10x = 305,918.55 × 157,251.30
  4. Step 4: Simplify right side
    203,792.10x = 48,106,089,681.62
  5. Step 5: Solve for x
    x = 48,106,089,681.62/203,792.10
  6. Step 6: Final answer
    x = 236,054.73

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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.