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Finding the Fourth Proportional to 133,633.80, 200,126.70 and 71,166.60

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Solution

The fourth proportional to 133,633.80, 200,126.70 and 71,166.60 is: 106,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,633.80 : 200,126.70 = 71,166.60 : x
  2. Step 2: Convert to fraction form
    133,633.80/200,126.70 = 71,166.60/x
  3. Step 3: Cross multiply
    133,633.80x = 200,126.70 × 71,166.60
  4. Step 4: Simplify right side
    133,633.80x = 14,242,336,808.22
  5. Step 5: Solve for x
    x = 14,242,336,808.22/133,633.80
  6. Step 6: Final answer
    x = 106,577.35

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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.