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Finding the Fourth Proportional to 186,980.38, 258,032.91 and 102,097.51

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Solution

The fourth proportional to 186,980.38, 258,032.91 and 102,097.51 is: 140,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,980.38 : 258,032.91 = 102,097.51 : x
  2. Step 2: Convert to fraction form
    186,980.38/258,032.91 = 102,097.51/x
  3. Step 3: Cross multiply
    186,980.38x = 258,032.91 × 102,097.51
  4. Step 4: Simplify right side
    186,980.38x = 26,344,517,609.05
  5. Step 5: Solve for x
    x = 26,344,517,609.05/186,980.38
  6. Step 6: Final answer
    x = 140,894.56

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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.