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Finding the Fourth Proportional to 102,283.39, 141,149.94 and 56,960.38

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Solution

The fourth proportional to 102,283.39, 141,149.94 and 56,960.38 is: 78,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,283.39 : 141,149.94 = 56,960.38 : x
  2. Step 2: Convert to fraction form
    102,283.39/141,149.94 = 56,960.38/x
  3. Step 3: Cross multiply
    102,283.39x = 141,149.94 × 56,960.38
  4. Step 4: Simplify right side
    102,283.39x = 8,039,954,219.38
  5. Step 5: Solve for x
    x = 8,039,954,219.38/102,283.39
  6. Step 6: Final answer
    x = 78,604.69

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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.