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Finding the Fourth Proportional to 186,849.64, 280,378.14 and 76,033

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Solution

The fourth proportional to 186,849.64, 280,378.14 and 76,033 is: 114,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,849.64 : 280,378.14 = 76,033 : x
  2. Step 2: Convert to fraction form
    186,849.64/280,378.14 = 76,033/x
  3. Step 3: Cross multiply
    186,849.64x = 280,378.14 × 76,033
  4. Step 4: Simplify right side
    186,849.64x = 21,317,991,118.62
  5. Step 5: Solve for x
    x = 21,317,991,118.62/186,849.64
  6. Step 6: Final answer
    x = 114,091.69

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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.