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Finding the Fourth Proportional to 234,276.78, 351,436.77 and 76,506.06

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Solution

The fourth proportional to 234,276.78, 351,436.77 and 76,506.06 is: 114,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,276.78 : 351,436.77 = 76,506.06 : x
  2. Step 2: Convert to fraction form
    234,276.78/351,436.77 = 76,506.06/x
  3. Step 3: Cross multiply
    234,276.78x = 351,436.77 × 76,506.06
  4. Step 4: Simplify right side
    234,276.78x = 26,887,042,611.83
  5. Step 5: Solve for x
    x = 26,887,042,611.83/234,276.78
  6. Step 6: Final answer
    x = 114,766.14

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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.