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Finding the Fourth Proportional to 133,822.82, 184,675.48 and 74,206.82

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Solution

The fourth proportional to 133,822.82, 184,675.48 and 74,206.82 is: 102,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,822.82 : 184,675.48 = 74,206.82 : x
  2. Step 2: Convert to fraction form
    133,822.82/184,675.48 = 74,206.82/x
  3. Step 3: Cross multiply
    133,822.82x = 184,675.48 × 74,206.82
  4. Step 4: Simplify right side
    133,822.82x = 13,704,179,179.40
  5. Step 5: Solve for x
    x = 13,704,179,179.40/133,822.82
  6. Step 6: Final answer
    x = 102,405.40

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Why These Related Problems?

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