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Finding the Fourth Proportional to 187,417, 281,125.77 and 76,609

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Solution

The fourth proportional to 187,417, 281,125.77 and 76,609 is: 114,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,417 : 281,125.77 = 76,609 : x
  2. Step 2: Convert to fraction form
    187,417/281,125.77 = 76,609/x
  3. Step 3: Cross multiply
    187,417x = 281,125.77 × 76,609
  4. Step 4: Simplify right side
    187,417x = 21,536,764,113.93
  5. Step 5: Solve for x
    x = 21,536,764,113.93/187,417
  6. Step 6: Final answer
    x = 114,913.61

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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.