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Finding the Fourth Proportional to 133,583.34, 200,375.01 and 59,659.50

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Solution

The fourth proportional to 133,583.34, 200,375.01 and 59,659.50 is: 89,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,583.34 : 200,375.01 = 59,659.50 : x
  2. Step 2: Convert to fraction form
    133,583.34/200,375.01 = 59,659.50/x
  3. Step 3: Cross multiply
    133,583.34x = 200,375.01 × 59,659.50
  4. Step 4: Simplify right side
    133,583.34x = 11,954,272,909.10
  5. Step 5: Solve for x
    x = 11,954,272,909.10/133,583.34
  6. Step 6: Final answer
    x = 89,489.25

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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.