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Finding the Fourth Proportional to 234,137.30, 351,170.30 and 76,365.50

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Solution

The fourth proportional to 234,137.30, 351,170.30 and 76,365.50 is: 114,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,137.30 : 351,170.30 = 76,365.50 : x
  2. Step 2: Convert to fraction form
    234,137.30/351,170.30 = 76,365.50/x
  3. Step 3: Cross multiply
    234,137.30x = 351,170.30 × 76,365.50
  4. Step 4: Simplify right side
    234,137.30x = 26,817,295,544.65
  5. Step 5: Solve for x
    x = 26,817,295,544.65/234,137.30
  6. Step 6: Final answer
    x = 114,536.62

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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.