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Finding the Fourth Proportional to 190,043.46, 284,769.54 and 71,650.08

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Solution

The fourth proportional to 190,043.46, 284,769.54 and 71,650.08 is: 107,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,043.46 : 284,769.54 = 71,650.08 : x
  2. Step 2: Convert to fraction form
    190,043.46/284,769.54 = 71,650.08/x
  3. Step 3: Cross multiply
    190,043.46x = 284,769.54 × 71,650.08
  4. Step 4: Simplify right side
    190,043.46x = 20,403,760,322.56
  5. Step 5: Solve for x
    x = 20,403,760,322.56/190,043.46
  6. Step 6: Final answer
    x = 107,363.65

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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.