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Finding the Fourth Proportional to 227,716.68, 313,956.48 and 186,730.29

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Solution

The fourth proportional to 227,716.68, 313,956.48 and 186,730.29 is: 257,447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,716.68 : 313,956.48 = 186,730.29 : x
  2. Step 2: Convert to fraction form
    227,716.68/313,956.48 = 186,730.29/x
  3. Step 3: Cross multiply
    227,716.68x = 313,956.48 × 186,730.29
  4. Step 4: Simplify right side
    227,716.68x = 58,625,184,557.78
  5. Step 5: Solve for x
    x = 58,625,184,557.78/227,716.68
  6. Step 6: Final answer
    x = 257,447.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.