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Finding the Fourth Proportional to 117,989.20, 176,983.80 and 34,883.20

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Solution

The fourth proportional to 117,989.20, 176,983.80 and 34,883.20 is: 52,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,989.20 : 176,983.80 = 34,883.20 : x
  2. Step 2: Convert to fraction form
    117,989.20/176,983.80 = 34,883.20/x
  3. Step 3: Cross multiply
    117,989.20x = 176,983.80 × 34,883.20
  4. Step 4: Simplify right side
    117,989.20x = 6,173,761,292.16
  5. Step 5: Solve for x
    x = 6,173,761,292.16/117,989.20
  6. Step 6: Final answer
    x = 52,324.80

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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.