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Finding the Fourth Proportional to 187,204.86, 258,333.72 and 102,321.96

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Solution

The fourth proportional to 187,204.86, 258,333.72 and 102,321.96 is: 141,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,204.86 : 258,333.72 = 102,321.96 : x
  2. Step 2: Convert to fraction form
    187,204.86/258,333.72 = 102,321.96/x
  3. Step 3: Cross multiply
    187,204.86x = 258,333.72 × 102,321.96
  4. Step 4: Simplify right side
    187,204.86x = 26,433,212,564.49
  5. Step 5: Solve for x
    x = 26,433,212,564.49/187,204.86
  6. Step 6: Final answer
    x = 141,199.39

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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.