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Finding the Fourth Proportional to 123,203.56, 184,803.72 and 29,708.50

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Solution

The fourth proportional to 123,203.56, 184,803.72 and 29,708.50 is: 44,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,203.56 : 184,803.72 = 29,708.50 : x
  2. Step 2: Convert to fraction form
    123,203.56/184,803.72 = 29,708.50/x
  3. Step 3: Cross multiply
    123,203.56x = 184,803.72 × 29,708.50
  4. Step 4: Simplify right side
    123,203.56x = 5,490,241,315.62
  5. Step 5: Solve for x
    x = 5,490,241,315.62/123,203.56
  6. Step 6: Final answer
    x = 44,562.36

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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.