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Finding the Fourth Proportional to 164,308.80, 246,506.87 and 51,991.01

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Solution

The fourth proportional to 164,308.80, 246,506.87 and 51,991.01 is: 78,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,308.80 : 246,506.87 = 51,991.01 : x
  2. Step 2: Convert to fraction form
    164,308.80/246,506.87 = 51,991.01/x
  3. Step 3: Cross multiply
    164,308.80x = 246,506.87 × 51,991.01
  4. Step 4: Simplify right side
    164,308.80x = 12,816,141,499.55
  5. Step 5: Solve for x
    x = 12,816,141,499.55/164,308.80
  6. Step 6: Final answer
    x = 78,000.34

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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.