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Finding the Fourth Proportional to 125,952.30, 188,938.85 and 41,709.87

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Solution

The fourth proportional to 125,952.30, 188,938.85 and 41,709.87 is: 62,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,952.30 : 188,938.85 = 41,709.87 : x
  2. Step 2: Convert to fraction form
    125,952.30/188,938.85 = 41,709.87/x
  3. Step 3: Cross multiply
    125,952.30x = 188,938.85 × 41,709.87
  4. Step 4: Simplify right side
    125,952.30x = 7,880,614,662.90
  5. Step 5: Solve for x
    x = 7,880,614,662.90/125,952.30
  6. Step 6: Final answer
    x = 62,568.25

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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.