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Finding the Fourth Proportional to 214,643.60, 296,193.36 and 119,142.78

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Solution

The fourth proportional to 214,643.60, 296,193.36 and 119,142.78 is: 164,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,643.60 : 296,193.36 = 119,142.78 : x
  2. Step 2: Convert to fraction form
    214,643.60/296,193.36 = 119,142.78/x
  3. Step 3: Cross multiply
    214,643.60x = 296,193.36 × 119,142.78
  4. Step 4: Simplify right side
    214,643.60x = 35,289,300,327.94
  5. Step 5: Solve for x
    x = 35,289,300,327.94/214,643.60
  6. Step 6: Final answer
    x = 164,408.82

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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.