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Finding the Fourth Proportional to 194,128.98, 291,195.09 and 53,898.54

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Solution

The fourth proportional to 194,128.98, 291,195.09 and 53,898.54 is: 80,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,128.98 : 291,195.09 = 53,898.54 : x
  2. Step 2: Convert to fraction form
    194,128.98/291,195.09 = 53,898.54/x
  3. Step 3: Cross multiply
    194,128.98x = 291,195.09 × 53,898.54
  4. Step 4: Simplify right side
    194,128.98x = 15,694,990,206.17
  5. Step 5: Solve for x
    x = 15,694,990,206.17/194,128.98
  6. Step 6: Final answer
    x = 80,848.26

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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.