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Finding the Fourth Proportional to 119,279.70, 178,915.44 and 30,533.97

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Solution

The fourth proportional to 119,279.70, 178,915.44 and 30,533.97 is: 45,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,279.70 : 178,915.44 = 30,533.97 : x
  2. Step 2: Convert to fraction form
    119,279.70/178,915.44 = 30,533.97/x
  3. Step 3: Cross multiply
    119,279.70x = 178,915.44 × 30,533.97
  4. Step 4: Simplify right side
    119,279.70x = 5,462,998,677.50
  5. Step 5: Solve for x
    x = 5,462,998,677.50/119,279.70
  6. Step 6: Final answer
    x = 45,799.90

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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.