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Finding the Fourth Proportional to 175,753.40, 263,015.70 and 161,007.80

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Solution

The fourth proportional to 175,753.40, 263,015.70 and 161,007.80 is: 240,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,753.40 : 263,015.70 = 161,007.80 : x
  2. Step 2: Convert to fraction form
    175,753.40/263,015.70 = 161,007.80/x
  3. Step 3: Cross multiply
    175,753.40x = 263,015.70 × 161,007.80
  4. Step 4: Simplify right side
    175,753.40x = 42,347,579,222.46
  5. Step 5: Solve for x
    x = 42,347,579,222.46/175,753.40
  6. Step 6: Final answer
    x = 240,948.85

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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.