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Finding the Fourth Proportional to 125,704.26, 188,582.94 and 36,950.40

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Solution

The fourth proportional to 125,704.26, 188,582.94 and 36,950.40 is: 55,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,704.26 : 188,582.94 = 36,950.40 : x
  2. Step 2: Convert to fraction form
    125,704.26/188,582.94 = 36,950.40/x
  3. Step 3: Cross multiply
    125,704.26x = 188,582.94 × 36,950.40
  4. Step 4: Simplify right side
    125,704.26x = 6,968,215,066.18
  5. Step 5: Solve for x
    x = 6,968,215,066.18/125,704.26
  6. Step 6: Final answer
    x = 55,433.40

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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.