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Finding the Fourth Proportional to 187,839.49, 259,217.95 and 102,956.29

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Solution

The fourth proportional to 187,839.49, 259,217.95 and 102,956.29 is: 142,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,839.49 : 259,217.95 = 102,956.29 : x
  2. Step 2: Convert to fraction form
    187,839.49/259,217.95 = 102,956.29/x
  3. Step 3: Cross multiply
    187,839.49x = 259,217.95 × 102,956.29
  4. Step 4: Simplify right side
    187,839.49x = 26,688,118,433.41
  5. Step 5: Solve for x
    x = 26,688,118,433.41/187,839.49
  6. Step 6: Final answer
    x = 142,079.38

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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.