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Finding the Fourth Proportional to 133,512.09, 200,129.68 and 83,477.31

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Solution

The fourth proportional to 133,512.09, 200,129.68 and 83,477.31 is: 125,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,512.09 : 200,129.68 = 83,477.31 : x
  2. Step 2: Convert to fraction form
    133,512.09/200,129.68 = 83,477.31/x
  3. Step 3: Cross multiply
    133,512.09x = 200,129.68 × 83,477.31
  4. Step 4: Simplify right side
    133,512.09x = 16,706,287,337.56
  5. Step 5: Solve for x
    x = 16,706,287,337.56/133,512.09
  6. Step 6: Final answer
    x = 125,129.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.