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Finding the Fourth Proportional to 186,981.88, 258,034.98 and 102,099.01

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Solution

The fourth proportional to 186,981.88, 258,034.98 and 102,099.01 is: 140,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,981.88 : 258,034.98 = 102,099.01 : x
  2. Step 2: Convert to fraction form
    186,981.88/258,034.98 = 102,099.01/x
  3. Step 3: Cross multiply
    186,981.88x = 258,034.98 × 102,099.01
  4. Step 4: Simplify right side
    186,981.88x = 26,345,116,003.37
  5. Step 5: Solve for x
    x = 26,345,116,003.37/186,981.88
  6. Step 6: Final answer
    x = 140,896.63

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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.