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Finding the Fourth Proportional to 116,874.98, 175,201.49 and 37,934.00

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Solution

The fourth proportional to 116,874.98, 175,201.49 and 37,934.00 is: 56,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,874.98 : 175,201.49 = 37,934.00 : x
  2. Step 2: Convert to fraction form
    116,874.98/175,201.49 = 37,934.00/x
  3. Step 3: Cross multiply
    116,874.98x = 175,201.49 × 37,934.00
  4. Step 4: Simplify right side
    116,874.98x = 6,646,092,255.98
  5. Step 5: Solve for x
    x = 6,646,092,255.98/116,874.98
  6. Step 6: Final answer
    x = 56,864.97

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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.