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Finding the Fourth Proportional to 251,762.70, 377,646.48 and 71,847.96

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Solution

The fourth proportional to 251,762.70, 377,646.48 and 71,847.96 is: 107,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,762.70 : 377,646.48 = 71,847.96 : x
  2. Step 2: Convert to fraction form
    251,762.70/377,646.48 = 71,847.96/x
  3. Step 3: Cross multiply
    251,762.70x = 377,646.48 × 71,847.96
  4. Step 4: Simplify right side
    251,762.70x = 27,133,129,189.18
  5. Step 5: Solve for x
    x = 27,133,129,189.18/251,762.70
  6. Step 6: Final answer
    x = 107,772.63

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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.