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Finding the Fourth Proportional to 151,391.81, 208,910.67 and 90,965

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Solution

The fourth proportional to 151,391.81, 208,910.67 and 90,965 is: 125,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,391.81 : 208,910.67 = 90,965 : x
  2. Step 2: Convert to fraction form
    151,391.81/208,910.67 = 90,965/x
  3. Step 3: Cross multiply
    151,391.81x = 208,910.67 × 90,965
  4. Step 4: Simplify right side
    151,391.81x = 19,003,559,096.55
  5. Step 5: Solve for x
    x = 19,003,559,096.55/151,391.81
  6. Step 6: Final answer
    x = 125,525.67

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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.