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Finding the Fourth Proportional to 142,093.60, 196,088.10 and 78,431.38

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Solution

The fourth proportional to 142,093.60, 196,088.10 and 78,431.38 is: 108,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,093.60 : 196,088.10 = 78,431.38 : x
  2. Step 2: Convert to fraction form
    142,093.60/196,088.10 = 78,431.38/x
  3. Step 3: Cross multiply
    142,093.60x = 196,088.10 × 78,431.38
  4. Step 4: Simplify right side
    142,093.60x = 15,379,460,284.58
  5. Step 5: Solve for x
    x = 15,379,460,284.58/142,093.60
  6. Step 6: Final answer
    x = 108,234.71

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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.