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Finding the Fourth Proportional to 193,870.45, 290,819.49 and 51,714.91

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Solution

The fourth proportional to 193,870.45, 290,819.49 and 51,714.91 is: 77,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,870.45 : 290,819.49 = 51,714.91 : x
  2. Step 2: Convert to fraction form
    193,870.45/290,819.49 = 51,714.91/x
  3. Step 3: Cross multiply
    193,870.45x = 290,819.49 × 51,714.91
  4. Step 4: Simplify right side
    193,870.45x = 15,039,703,751.60
  5. Step 5: Solve for x
    x = 15,039,703,751.60/193,870.45
  6. Step 6: Final answer
    x = 77,576.05

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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.