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Finding the Fourth Proportional to 283,438.68, 391,163.12 and 156,114.24

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Solution

The fourth proportional to 283,438.68, 391,163.12 and 156,114.24 is: 215,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,438.68 : 391,163.12 = 156,114.24 : x
  2. Step 2: Convert to fraction form
    283,438.68/391,163.12 = 156,114.24/x
  3. Step 3: Cross multiply
    283,438.68x = 391,163.12 × 156,114.24
  4. Step 4: Simplify right side
    283,438.68x = 61,066,133,194.83
  5. Step 5: Solve for x
    x = 61,066,133,194.83/283,438.68
  6. Step 6: Final answer
    x = 215,447.42

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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.