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Finding the Fourth Proportional to 133,852.83, 200,768.31 and 45,104.37

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Solution

The fourth proportional to 133,852.83, 200,768.31 and 45,104.37 is: 67,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852.83 : 200,768.31 = 45,104.37 : x
  2. Step 2: Convert to fraction form
    133,852.83/200,768.31 = 45,104.37/x
  3. Step 3: Cross multiply
    133,852.83x = 200,768.31 × 45,104.37
  4. Step 4: Simplify right side
    133,852.83x = 9,055,528,138.51
  5. Step 5: Solve for x
    x = 9,055,528,138.51/133,852.83
  6. Step 6: Final answer
    x = 67,652.87

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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.