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Finding the Fourth Proportional to 125,704.64, 173,509.90 and 82,717.28

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Solution

The fourth proportional to 125,704.64, 173,509.90 and 82,717.28 is: 114,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,704.64 : 173,509.90 = 82,717.28 : x
  2. Step 2: Convert to fraction form
    125,704.64/173,509.90 = 82,717.28/x
  3. Step 3: Cross multiply
    125,704.64x = 173,509.90 × 82,717.28
  4. Step 4: Simplify right side
    125,704.64x = 14,352,266,069.39
  5. Step 5: Solve for x
    x = 14,352,266,069.39/125,704.64
  6. Step 6: Final answer
    x = 114,174.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.