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Finding the Fourth Proportional to 189,163.44, 283,570.92 and 64,417.68

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Solution

The fourth proportional to 189,163.44, 283,570.92 and 64,417.68 is: 96,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,163.44 : 283,570.92 = 64,417.68 : x
  2. Step 2: Convert to fraction form
    189,163.44/283,570.92 = 64,417.68/x
  3. Step 3: Cross multiply
    189,163.44x = 283,570.92 × 64,417.68
  4. Step 4: Simplify right side
    189,163.44x = 18,266,980,781.87
  5. Step 5: Solve for x
    x = 18,266,980,781.87/189,163.44
  6. Step 6: Final answer
    x = 96,567.18

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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.