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Finding the Fourth Proportional to 139,940, 193,114.33 and 76,277.24

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Solution

The fourth proportional to 139,940, 193,114.33 and 76,277.24 is: 105,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,940 : 193,114.33 = 76,277.24 : x
  2. Step 2: Convert to fraction form
    139,940/193,114.33 = 76,277.24/x
  3. Step 3: Cross multiply
    139,940x = 193,114.33 × 76,277.24
  4. Step 4: Simplify right side
    139,940x = 14,730,228,096.85
  5. Step 5: Solve for x
    x = 14,730,228,096.85/139,940
  6. Step 6: Final answer
    x = 105,261.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.