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Finding the Fourth Proportional to 186,866.28, 280,346.76 and 53,743.68

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Solution

The fourth proportional to 186,866.28, 280,346.76 and 53,743.68 is: 80,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,866.28 : 280,346.76 = 53,743.68 : x
  2. Step 2: Convert to fraction form
    186,866.28/280,346.76 = 53,743.68/x
  3. Step 3: Cross multiply
    186,866.28x = 280,346.76 × 53,743.68
  4. Step 4: Simplify right side
    186,866.28x = 15,066,866,558.48
  5. Step 5: Solve for x
    x = 15,066,866,558.48/186,866.28
  6. Step 6: Final answer
    x = 80,629.14

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Why These Related Problems?

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