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Finding the Fourth Proportional to 139,809.46, 192,939.24 and 76,147.18

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Solution

The fourth proportional to 139,809.46, 192,939.24 and 76,147.18 is: 105,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,809.46 : 192,939.24 = 76,147.18 : x
  2. Step 2: Convert to fraction form
    139,809.46/192,939.24 = 76,147.18/x
  3. Step 3: Cross multiply
    139,809.46x = 192,939.24 × 76,147.18
  4. Step 4: Simplify right side
    139,809.46x = 14,691,779,037.34
  5. Step 5: Solve for x
    x = 14,691,779,037.34/139,809.46
  6. Step 6: Final answer
    x = 105,084.30

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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.