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Finding the Fourth Proportional to 186,981.38, 258,034.29 and 102,098.51

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Solution

The fourth proportional to 186,981.38, 258,034.29 and 102,098.51 is: 140,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,981.38 : 258,034.29 = 102,098.51 : x
  2. Step 2: Convert to fraction form
    186,981.38/258,034.29 = 102,098.51/x
  3. Step 3: Cross multiply
    186,981.38x = 258,034.29 × 102,098.51
  4. Step 4: Simplify right side
    186,981.38x = 26,344,916,537.91
  5. Step 5: Solve for x
    x = 26,344,916,537.91/186,981.38
  6. Step 6: Final answer
    x = 140,895.94

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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.