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Finding the Fourth Proportional to 133,409.31, 184,109.40 and 76,057.11

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Solution

The fourth proportional to 133,409.31, 184,109.40 and 76,057.11 is: 104,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,409.31 : 184,109.40 = 76,057.11 : x
  2. Step 2: Convert to fraction form
    133,409.31/184,109.40 = 76,057.11/x
  3. Step 3: Cross multiply
    133,409.31x = 184,109.40 × 76,057.11
  4. Step 4: Simplify right side
    133,409.31x = 14,002,828,887.83
  5. Step 5: Solve for x
    x = 14,002,828,887.83/133,409.31
  6. Step 6: Final answer
    x = 104,961.41

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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.