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Finding the Fourth Proportional to 186,602.64, 279,892.44 and 75,791.76

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Solution

The fourth proportional to 186,602.64, 279,892.44 and 75,791.76 is: 113,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,602.64 : 279,892.44 = 75,791.76 : x
  2. Step 2: Convert to fraction form
    186,602.64/279,892.44 = 75,791.76/x
  3. Step 3: Cross multiply
    186,602.64x = 279,892.44 × 75,791.76
  4. Step 4: Simplify right side
    186,602.64x = 21,213,540,638.29
  5. Step 5: Solve for x
    x = 21,213,540,638.29/186,602.64
  6. Step 6: Final answer
    x = 113,682.96

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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.