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Finding the Fourth Proportional to 139,021, 191,847.90 and 75,357.16

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Solution

The fourth proportional to 139,021, 191,847.90 and 75,357.16 is: 103,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,021 : 191,847.90 = 75,357.16 : x
  2. Step 2: Convert to fraction form
    139,021/191,847.90 = 75,357.16/x
  3. Step 3: Cross multiply
    139,021x = 191,847.90 × 75,357.16
  4. Step 4: Simplify right side
    139,021x = 14,457,112,895.96
  5. Step 5: Solve for x
    x = 14,457,112,895.96/139,021
  6. Step 6: Final answer
    x = 103,992.30

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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.