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Finding the Fourth Proportional to 187,842.96, 259,231.32 and 112,376.88

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Solution

The fourth proportional to 187,842.96, 259,231.32 and 112,376.88 is: 155,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,842.96 : 259,231.32 = 112,376.88 : x
  2. Step 2: Convert to fraction form
    187,842.96/259,231.32 = 112,376.88/x
  3. Step 3: Cross multiply
    187,842.96x = 259,231.32 × 112,376.88
  4. Step 4: Simplify right side
    187,842.96x = 29,131,606,939.88
  5. Step 5: Solve for x
    x = 29,131,606,939.88/187,842.96
  6. Step 6: Final answer
    x = 155,084.90

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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.