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Finding the Fourth Proportional to 133,822.75, 184,675.40 and 74,206.75

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Solution

The fourth proportional to 133,822.75, 184,675.40 and 74,206.75 is: 102,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,822.75 : 184,675.40 = 74,206.75 : x
  2. Step 2: Convert to fraction form
    133,822.75/184,675.40 = 74,206.75/x
  3. Step 3: Cross multiply
    133,822.75x = 184,675.40 × 74,206.75
  4. Step 4: Simplify right side
    133,822.75x = 13,704,161,238.95
  5. Step 5: Solve for x
    x = 13,704,161,238.95/133,822.75
  6. Step 6: Final answer
    x = 102,405.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.