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Finding the Fourth Proportional to 133,405.57, 200,177.34 and 58,578.25

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Solution

The fourth proportional to 133,405.57, 200,177.34 and 58,578.25 is: 87,897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,405.57 : 200,177.34 = 58,578.25 : x
  2. Step 2: Convert to fraction form
    133,405.57/200,177.34 = 58,578.25/x
  3. Step 3: Cross multiply
    133,405.57x = 200,177.34 × 58,578.25
  4. Step 4: Simplify right side
    133,405.57x = 11,726,038,266.86
  5. Step 5: Solve for x
    x = 11,726,038,266.86/133,405.57
  6. Step 6: Final answer
    x = 87,897.67

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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.