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Finding the Fourth Proportional to 125,871.42, 188,807.62 and 50,992.98

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Solution

The fourth proportional to 125,871.42, 188,807.62 and 50,992.98 is: 76,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,871.42 : 188,807.62 = 50,992.98 : x
  2. Step 2: Convert to fraction form
    125,871.42/188,807.62 = 50,992.98/x
  3. Step 3: Cross multiply
    125,871.42x = 188,807.62 × 50,992.98
  4. Step 4: Simplify right side
    125,871.42x = 9,627,863,190.51
  5. Step 5: Solve for x
    x = 9,627,863,190.51/125,871.42
  6. Step 6: Final answer
    x = 76,489.67

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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.