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Finding the Fourth Proportional to 125,933.18, 188,965.29 and 55,796

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Solution

The fourth proportional to 125,933.18, 188,965.29 and 55,796 is: 83,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,933.18 : 188,965.29 = 55,796 : x
  2. Step 2: Convert to fraction form
    125,933.18/188,965.29 = 55,796/x
  3. Step 3: Cross multiply
    125,933.18x = 188,965.29 × 55,796
  4. Step 4: Simplify right side
    125,933.18x = 10,543,507,320.84
  5. Step 5: Solve for x
    x = 10,543,507,320.84/125,933.18
  6. Step 6: Final answer
    x = 83,723.03

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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.