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Finding the Fourth Proportional to 117,661.60, 176,233.20 and 82,410.40

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Solution

The fourth proportional to 117,661.60, 176,233.20 and 82,410.40 is: 123,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,661.60 : 176,233.20 = 82,410.40 : x
  2. Step 2: Convert to fraction form
    117,661.60/176,233.20 = 82,410.40/x
  3. Step 3: Cross multiply
    117,661.60x = 176,233.20 × 82,410.40
  4. Step 4: Simplify right side
    117,661.60x = 14,523,448,505.28
  5. Step 5: Solve for x
    x = 14,523,448,505.28/117,661.60
  6. Step 6: Final answer
    x = 123,434.06

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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.