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Finding the Fourth Proportional to 189,186.18, 283,963.95 and 156,241.86

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Solution

The fourth proportional to 189,186.18, 283,963.95 and 156,241.86 is: 234,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,186.18 : 283,963.95 = 156,241.86 : x
  2. Step 2: Convert to fraction form
    189,186.18/283,963.95 = 156,241.86/x
  3. Step 3: Cross multiply
    189,186.18x = 283,963.95 × 156,241.86
  4. Step 4: Simplify right side
    189,186.18x = 44,367,055,720.95
  5. Step 5: Solve for x
    x = 44,367,055,720.95/189,186.18
  6. Step 6: Final answer
    x = 234,515.31

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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.