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Finding the Fourth Proportional to 214,465.93, 295,960.23 and 116,347.73

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Solution

The fourth proportional to 214,465.93, 295,960.23 and 116,347.73 is: 160,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,465.93 : 295,960.23 = 116,347.73 : x
  2. Step 2: Convert to fraction form
    214,465.93/295,960.23 = 116,347.73/x
  3. Step 3: Cross multiply
    214,465.93x = 295,960.23 × 116,347.73
  4. Step 4: Simplify right side
    214,465.93x = 34,434,299,450.98
  5. Step 5: Solve for x
    x = 34,434,299,450.98/214,465.93
  6. Step 6: Final answer
    x = 160,558.37

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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.