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Finding the Fourth Proportional to 186,958.98, 258,007.82 and 102,076.65

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Solution

The fourth proportional to 186,958.98, 258,007.82 and 102,076.65 is: 140,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,958.98 : 258,007.82 = 102,076.65 : x
  2. Step 2: Convert to fraction form
    186,958.98/258,007.82 = 102,076.65/x
  3. Step 3: Cross multiply
    186,958.98x = 258,007.82 × 102,076.65
  4. Step 4: Simplify right side
    186,958.98x = 26,336,573,429.02
  5. Step 5: Solve for x
    x = 26,336,573,429.02/186,958.98
  6. Step 6: Final answer
    x = 140,868.19

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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.