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Finding the Fourth Proportional to 187,564.98, 258,842.88 and 115,943.16

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Solution

The fourth proportional to 187,564.98, 258,842.88 and 115,943.16 is: 160,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,564.98 : 258,842.88 = 115,943.16 : x
  2. Step 2: Convert to fraction form
    187,564.98/258,842.88 = 115,943.16/x
  3. Step 3: Cross multiply
    187,564.98x = 258,842.88 × 115,943.16
  4. Step 4: Simplify right side
    187,564.98x = 30,011,061,450.70
  5. Step 5: Solve for x
    x = 30,011,061,450.70/187,564.98
  6. Step 6: Final answer
    x = 160,003.54

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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.