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Finding the Fourth Proportional to 186,676.16, 280,013.67 and 46,434.78

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Solution

The fourth proportional to 186,676.16, 280,013.67 and 46,434.78 is: 69,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,676.16 : 280,013.67 = 46,434.78 : x
  2. Step 2: Convert to fraction form
    186,676.16/280,013.67 = 46,434.78/x
  3. Step 3: Cross multiply
    186,676.16x = 280,013.67 × 46,434.78
  4. Step 4: Simplify right side
    186,676.16x = 13,002,373,163.44
  5. Step 5: Solve for x
    x = 13,002,373,163.44/186,676.16
  6. Step 6: Final answer
    x = 69,652.03

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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.