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Finding the Fourth Proportional to 214,907.56, 296,558.82 and 119,408.68

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Solution

The fourth proportional to 214,907.56, 296,558.82 and 119,408.68 is: 164,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,907.56 : 296,558.82 = 119,408.68 : x
  2. Step 2: Convert to fraction form
    214,907.56/296,558.82 = 119,408.68/x
  3. Step 3: Cross multiply
    214,907.56x = 296,558.82 × 119,408.68
  4. Step 4: Simplify right side
    214,907.56x = 35,411,697,238.56
  5. Step 5: Solve for x
    x = 35,411,697,238.56/214,907.56
  6. Step 6: Final answer
    x = 164,776.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.