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Finding the Fourth Proportional to 189,336.42, 261,370.08 and 120,454.20

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Solution

The fourth proportional to 189,336.42, 261,370.08 and 120,454.20 is: 166,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,336.42 : 261,370.08 = 120,454.20 : x
  2. Step 2: Convert to fraction form
    189,336.42/261,370.08 = 120,454.20/x
  3. Step 3: Cross multiply
    189,336.42x = 261,370.08 × 120,454.20
  4. Step 4: Simplify right side
    189,336.42x = 31,483,123,890.34
  5. Step 5: Solve for x
    x = 31,483,123,890.34/189,336.42
  6. Step 6: Final answer
    x = 166,281.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.