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Finding the Fourth Proportional to 111,823.96, 167,813.72 and 72,283

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Solution

The fourth proportional to 111,823.96, 167,813.72 and 72,283 is: 108,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,823.96 : 167,813.72 = 72,283 : x
  2. Step 2: Convert to fraction form
    111,823.96/167,813.72 = 72,283/x
  3. Step 3: Cross multiply
    111,823.96x = 167,813.72 × 72,283
  4. Step 4: Simplify right side
    111,823.96x = 12,130,079,122.76
  5. Step 5: Solve for x
    x = 12,130,079,122.76/111,823.96
  6. Step 6: Final answer
    x = 108,474.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.