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Finding the Fourth Proportional to 337,761.84, 506,694.60 and 116,094

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Solution

The fourth proportional to 337,761.84, 506,694.60 and 116,094 is: 174,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,761.84 : 506,694.60 = 116,094 : x
  2. Step 2: Convert to fraction form
    337,761.84/506,694.60 = 116,094/x
  3. Step 3: Cross multiply
    337,761.84x = 506,694.60 × 116,094
  4. Step 4: Simplify right side
    337,761.84x = 58,824,202,892.40
  5. Step 5: Solve for x
    x = 58,824,202,892.40/337,761.84
  6. Step 6: Final answer
    x = 174,158.82

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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.