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Finding the Fourth Proportional to 122,978.70, 184,554.45 and 52,908.30

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Solution

The fourth proportional to 122,978.70, 184,554.45 and 52,908.30 is: 79,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,978.70 : 184,554.45 = 52,908.30 : x
  2. Step 2: Convert to fraction form
    122,978.70/184,554.45 = 52,908.30/x
  3. Step 3: Cross multiply
    122,978.70x = 184,554.45 × 52,908.30
  4. Step 4: Simplify right side
    122,978.70x = 9,764,462,206.94
  5. Step 5: Solve for x
    x = 9,764,462,206.94/122,978.70
  6. Step 6: Final answer
    x = 79,399.62

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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.