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Finding the Fourth Proportional to 139,626.76, 209,453.12 and 56,527.24

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Solution

The fourth proportional to 139,626.76, 209,453.12 and 56,527.24 is: 84,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,626.76 : 209,453.12 = 56,527.24 : x
  2. Step 2: Convert to fraction form
    139,626.76/209,453.12 = 56,527.24/x
  3. Step 3: Cross multiply
    139,626.76x = 209,453.12 × 56,527.24
  4. Step 4: Simplify right side
    139,626.76x = 11,839,806,782.99
  5. Step 5: Solve for x
    x = 11,839,806,782.99/139,626.76
  6. Step 6: Final answer
    x = 84,796.11

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Why These Related Problems?

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