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Finding the Fourth Proportional to 174,156.75, 261,240.12 and 47,798.03

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Solution

The fourth proportional to 174,156.75, 261,240.12 and 47,798.03 is: 71,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,156.75 : 261,240.12 = 47,798.03 : x
  2. Step 2: Convert to fraction form
    174,156.75/261,240.12 = 47,798.03/x
  3. Step 3: Cross multiply
    174,156.75x = 261,240.12 × 47,798.03
  4. Step 4: Simplify right side
    174,156.75x = 12,486,761,786.76
  5. Step 5: Solve for x
    x = 12,486,761,786.76/174,156.75
  6. Step 6: Final answer
    x = 71,698.41

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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.