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Finding the Fourth Proportional to 186,636.11, 280,070.26 and 75,828.11

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Solution

The fourth proportional to 186,636.11, 280,070.26 and 75,828.11 is: 113,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,636.11 : 280,070.26 = 75,828.11 : x
  2. Step 2: Convert to fraction form
    186,636.11/280,070.26 = 75,828.11/x
  3. Step 3: Cross multiply
    186,636.11x = 280,070.26 × 75,828.11
  4. Step 4: Simplify right side
    186,636.11x = 21,237,196,893.09
  5. Step 5: Solve for x
    x = 21,237,196,893.09/186,636.11
  6. Step 6: Final answer
    x = 113,789.33

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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.