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Finding the Fourth Proportional to 123,050.70, 184,662.45 and 52,980.30

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Solution

The fourth proportional to 123,050.70, 184,662.45 and 52,980.30 is: 79,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,050.70 : 184,662.45 = 52,980.30 : x
  2. Step 2: Convert to fraction form
    123,050.70/184,662.45 = 52,980.30/x
  3. Step 3: Cross multiply
    123,050.70x = 184,662.45 × 52,980.30
  4. Step 4: Simplify right side
    123,050.70x = 9,783,471,999.74
  5. Step 5: Solve for x
    x = 9,783,471,999.74/123,050.70
  6. Step 6: Final answer
    x = 79,507.65

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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.