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Finding the Fourth Proportional to 214,527.42, 321,806.52 and 56,754

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Solution

The fourth proportional to 214,527.42, 321,806.52 and 56,754 is: 85,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,527.42 : 321,806.52 = 56,754 : x
  2. Step 2: Convert to fraction form
    214,527.42/321,806.52 = 56,754/x
  3. Step 3: Cross multiply
    214,527.42x = 321,806.52 × 56,754
  4. Step 4: Simplify right side
    214,527.42x = 18,263,807,236.08
  5. Step 5: Solve for x
    x = 18,263,807,236.08/214,527.42
  6. Step 6: Final answer
    x = 85,135.07

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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.