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Finding the Fourth Proportional to 189,242.34, 283,542.14 and 114,204.80

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Solution

The fourth proportional to 189,242.34, 283,542.14 and 114,204.80 is: 171,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,242.34 : 283,542.14 = 114,204.80 : x
  2. Step 2: Convert to fraction form
    189,242.34/283,542.14 = 114,204.80/x
  3. Step 3: Cross multiply
    189,242.34x = 283,542.14 × 114,204.80
  4. Step 4: Simplify right side
    189,242.34x = 32,381,873,390.27
  5. Step 5: Solve for x
    x = 32,381,873,390.27/189,242.34
  6. Step 6: Final answer
    x = 171,113.26

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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.