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Finding the Fourth Proportional to 186,676.02, 280,020.18 and 51,739.83

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Solution

The fourth proportional to 186,676.02, 280,020.18 and 51,739.83 is: 77,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,676.02 : 280,020.18 = 51,739.83 : x
  2. Step 2: Convert to fraction form
    186,676.02/280,020.18 = 51,739.83/x
  3. Step 3: Cross multiply
    186,676.02x = 280,020.18 × 51,739.83
  4. Step 4: Simplify right side
    186,676.02x = 14,488,196,509.77
  5. Step 5: Solve for x
    x = 14,488,196,509.77/186,676.02
  6. Step 6: Final answer
    x = 77,611.45

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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.