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Finding the Fourth Proportional to 186,989.96, 280,277.17 and 142,469.93

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Solution

The fourth proportional to 186,989.96, 280,277.17 and 142,469.93 is: 213,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,989.96 : 280,277.17 = 142,469.93 : x
  2. Step 2: Convert to fraction form
    186,989.96/280,277.17 = 142,469.93/x
  3. Step 3: Cross multiply
    186,989.96x = 280,277.17 × 142,469.93
  4. Step 4: Simplify right side
    186,989.96x = 39,931,068,790.50
  5. Step 5: Solve for x
    x = 39,931,068,790.50/186,989.96
  6. Step 6: Final answer
    x = 213,546.59

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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.