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Finding the Fourth Proportional to 102,940.38, 142,146.38 and 64,763.56

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Solution

The fourth proportional to 102,940.38, 142,146.38 and 64,763.56 is: 89,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,940.38 : 142,146.38 = 64,763.56 : x
  2. Step 2: Convert to fraction form
    102,940.38/142,146.38 = 64,763.56/x
  3. Step 3: Cross multiply
    102,940.38x = 142,146.38 × 64,763.56
  4. Step 4: Simplify right side
    102,940.38x = 9,205,905,609.91
  5. Step 5: Solve for x
    x = 9,205,905,609.91/102,940.38
  6. Step 6: Final answer
    x = 89,429.49

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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.