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Finding the Fourth Proportional to 139,354, 209,065.72 and 40,858

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Solution

The fourth proportional to 139,354, 209,065.72 and 40,858 is: 61,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,354 : 209,065.72 = 40,858 : x
  2. Step 2: Convert to fraction form
    139,354/209,065.72 = 40,858/x
  3. Step 3: Cross multiply
    139,354x = 209,065.72 × 40,858
  4. Step 4: Simplify right side
    139,354x = 8,542,007,187.76
  5. Step 5: Solve for x
    x = 8,542,007,187.76/139,354
  6. Step 6: Final answer
    x = 61,297.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.