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Finding the Fourth Proportional to 187,795.26, 259,159.50 and 102,910.50

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Solution

The fourth proportional to 187,795.26, 259,159.50 and 102,910.50 is: 142,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,795.26 : 259,159.50 = 102,910.50 : x
  2. Step 2: Convert to fraction form
    187,795.26/259,159.50 = 102,910.50/x
  3. Step 3: Cross multiply
    187,795.26x = 259,159.50 × 102,910.50
  4. Step 4: Simplify right side
    187,795.26x = 26,670,233,724.75
  5. Step 5: Solve for x
    x = 26,670,233,724.75/187,795.26
  6. Step 6: Final answer
    x = 142,017.61

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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.