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Finding the Fourth Proportional to 104,783.78, 157,174.11 and 25,898.00

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Solution

The fourth proportional to 104,783.78, 157,174.11 and 25,898.00 is: 38,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,783.78 : 157,174.11 = 25,898.00 : x
  2. Step 2: Convert to fraction form
    104,783.78/157,174.11 = 25,898.00/x
  3. Step 3: Cross multiply
    104,783.78x = 157,174.11 × 25,898.00
  4. Step 4: Simplify right side
    104,783.78x = 4,070,494,314.91
  5. Step 5: Solve for x
    x = 4,070,494,314.91/104,783.78
  6. Step 6: Final answer
    x = 38,846.61

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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.