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Finding the Fourth Proportional to 186,763.68, 280,187.10 and 53,633.52

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Solution

The fourth proportional to 186,763.68, 280,187.10 and 53,633.52 is: 80,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,763.68 : 280,187.10 = 53,633.52 : x
  2. Step 2: Convert to fraction form
    186,763.68/280,187.10 = 53,633.52/x
  3. Step 3: Cross multiply
    186,763.68x = 280,187.10 × 53,633.52
  4. Step 4: Simplify right side
    186,763.68x = 15,027,420,431.59
  5. Step 5: Solve for x
    x = 15,027,420,431.59/186,763.68
  6. Step 6: Final answer
    x = 80,462.22

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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.