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Finding the Fourth Proportional to 234,383.86, 351,519.80 and 101,191.24

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Solution

The fourth proportional to 234,383.86, 351,519.80 and 101,191.24 is: 151,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,383.86 : 351,519.80 = 101,191.24 : x
  2. Step 2: Convert to fraction form
    234,383.86/351,519.80 = 101,191.24/x
  3. Step 3: Cross multiply
    234,383.86x = 351,519.80 × 101,191.24
  4. Step 4: Simplify right side
    234,383.86x = 35,570,724,446.55
  5. Step 5: Solve for x
    x = 35,570,724,446.55/234,383.86
  6. Step 6: Final answer
    x = 151,762.69

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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.