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Finding the Fourth Proportional to 175,571, 242,288.46 and 96,083

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Solution

The fourth proportional to 175,571, 242,288.46 and 96,083 is: 132,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,571 : 242,288.46 = 96,083 : x
  2. Step 2: Convert to fraction form
    175,571/242,288.46 = 96,083/x
  3. Step 3: Cross multiply
    175,571x = 242,288.46 × 96,083
  4. Step 4: Simplify right side
    175,571x = 23,279,802,102.18
  5. Step 5: Solve for x
    x = 23,279,802,102.18/175,571
  6. Step 6: Final answer
    x = 132,594.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.