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Finding the Fourth Proportional to 174,002.54, 261,005.33 and 68,821.49

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Solution

The fourth proportional to 174,002.54, 261,005.33 and 68,821.49 is: 103,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,002.54 : 261,005.33 = 68,821.49 : x
  2. Step 2: Convert to fraction form
    174,002.54/261,005.33 = 68,821.49/x
  3. Step 3: Cross multiply
    174,002.54x = 261,005.33 × 68,821.49
  4. Step 4: Simplify right side
    174,002.54x = 17,962,774,575.57
  5. Step 5: Solve for x
    x = 17,962,774,575.57/174,002.54
  6. Step 6: Final answer
    x = 103,232.83

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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.