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Finding the Fourth Proportional to 200,591.37, 301,154.30 and 116,411.96

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Solution

The fourth proportional to 200,591.37, 301,154.30 and 116,411.96 is: 174,773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,591.37 : 301,154.30 = 116,411.96 : x
  2. Step 2: Convert to fraction form
    200,591.37/301,154.30 = 116,411.96/x
  3. Step 3: Cross multiply
    200,591.37x = 301,154.30 × 116,411.96
  4. Step 4: Simplify right side
    200,591.37x = 35,057,962,740.62
  5. Step 5: Solve for x
    x = 35,057,962,740.62/200,591.37
  6. Step 6: Final answer
    x = 174,773.03

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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.