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Finding the Fourth Proportional to 125,197.44, 187,803 and 31,704

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Solution

The fourth proportional to 125,197.44, 187,803 and 31,704 is: 47,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,197.44 : 187,803 = 31,704 : x
  2. Step 2: Convert to fraction form
    125,197.44/187,803 = 31,704/x
  3. Step 3: Cross multiply
    125,197.44x = 187,803 × 31,704
  4. Step 4: Simplify right side
    125,197.44x = 5,954,106,312
  5. Step 5: Solve for x
    x = 5,954,106,312/125,197.44
  6. Step 6: Final answer
    x = 47,557.73

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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.