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Finding the Fourth Proportional to 234,518.96, 351,647.22 and 76,705.04

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Solution

The fourth proportional to 234,518.96, 351,647.22 and 76,705.04 is: 115,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,518.96 : 351,647.22 = 76,705.04 : x
  2. Step 2: Convert to fraction form
    234,518.96/351,647.22 = 76,705.04/x
  3. Step 3: Cross multiply
    234,518.96x = 351,647.22 × 76,705.04
  4. Step 4: Simplify right side
    234,518.96x = 26,973,114,075.99
  5. Step 5: Solve for x
    x = 26,973,114,075.99/234,518.96
  6. Step 6: Final answer
    x = 115,014.64

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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.