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Finding the Fourth Proportional to 214,745.96, 296,353.42 and 119,261.54

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Solution

The fourth proportional to 214,745.96, 296,353.42 and 119,261.54 is: 164,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,745.96 : 296,353.42 = 119,261.54 : x
  2. Step 2: Convert to fraction form
    214,745.96/296,353.42 = 119,261.54/x
  3. Step 3: Cross multiply
    214,745.96x = 296,353.42 × 119,261.54
  4. Step 4: Simplify right side
    214,745.96x = 35,343,565,253.47
  5. Step 5: Solve for x
    x = 35,343,565,253.47/214,745.96
  6. Step 6: Final answer
    x = 164,583.14

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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.