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Finding the Fourth Proportional to 186,410.30, 279,594.52 and 51,493.56

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Solution

The fourth proportional to 186,410.30, 279,594.52 and 51,493.56 is: 77,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,410.30 : 279,594.52 = 51,493.56 : x
  2. Step 2: Convert to fraction form
    186,410.30/279,594.52 = 51,493.56/x
  3. Step 3: Cross multiply
    186,410.30x = 279,594.52 × 51,493.56
  4. Step 4: Simplify right side
    186,410.30x = 14,397,317,191.29
  5. Step 5: Solve for x
    x = 14,397,317,191.29/186,410.30
  6. Step 6: Final answer
    x = 77,234.56

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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.