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Finding the Fourth Proportional to 234,043.02, 351,100.98 and 76,234.77

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Solution

The fourth proportional to 234,043.02, 351,100.98 and 76,234.77 is: 114,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,043.02 : 351,100.98 = 76,234.77 : x
  2. Step 2: Convert to fraction form
    234,043.02/351,100.98 = 76,234.77/x
  3. Step 3: Cross multiply
    234,043.02x = 351,100.98 × 76,234.77
  4. Step 4: Simplify right side
    234,043.02x = 26,766,102,457.07
  5. Step 5: Solve for x
    x = 26,766,102,457.07/234,043.02
  6. Step 6: Final answer
    x = 114,364.03

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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.