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Finding the Fourth Proportional to 186,967.33, 258,014.77 and 102,084.39

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Solution

The fourth proportional to 186,967.33, 258,014.77 and 102,084.39 is: 140,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,967.33 : 258,014.77 = 102,084.39 : x
  2. Step 2: Convert to fraction form
    186,967.33/258,014.77 = 102,084.39/x
  3. Step 3: Cross multiply
    186,967.33x = 258,014.77 × 102,084.39
  4. Step 4: Simplify right side
    186,967.33x = 26,339,280,406.44
  5. Step 5: Solve for x
    x = 26,339,280,406.44/186,967.33
  6. Step 6: Final answer
    x = 140,876.38

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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.