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Finding the Fourth Proportional to 186,971.76, 258,010.80 and 102,086.88

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Solution

The fourth proportional to 186,971.76, 258,010.80 and 102,086.88 is: 140,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,971.76 : 258,010.80 = 102,086.88 : x
  2. Step 2: Convert to fraction form
    186,971.76/258,010.80 = 102,086.88/x
  3. Step 3: Cross multiply
    186,971.76x = 258,010.80 × 102,086.88
  4. Step 4: Simplify right side
    186,971.76x = 26,339,517,578.30
  5. Step 5: Solve for x
    x = 26,339,517,578.30/186,971.76
  6. Step 6: Final answer
    x = 140,874.31

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1.5x scale

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.