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Finding the Fourth Proportional to 208,092.24, 312,064.56 and 74,936.70

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Solution

The fourth proportional to 208,092.24, 312,064.56 and 74,936.70 is: 112,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,092.24 : 312,064.56 = 74,936.70 : x
  2. Step 2: Convert to fraction form
    208,092.24/312,064.56 = 74,936.70/x
  3. Step 3: Cross multiply
    208,092.24x = 312,064.56 × 74,936.70
  4. Step 4: Simplify right side
    208,092.24x = 23,385,088,313.35
  5. Step 5: Solve for x
    x = 23,385,088,313.35/208,092.24
  6. Step 6: Final answer
    x = 112,378.47

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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.