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Finding the Fourth Proportional to 148,562.86, 205,014.90 and 80,578.75

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Solution

The fourth proportional to 148,562.86, 205,014.90 and 80,578.75 is: 111,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,562.86 : 205,014.90 = 80,578.75 : x
  2. Step 2: Convert to fraction form
    148,562.86/205,014.90 = 80,578.75/x
  3. Step 3: Cross multiply
    148,562.86x = 205,014.90 × 80,578.75
  4. Step 4: Simplify right side
    148,562.86x = 16,519,844,373.38
  5. Step 5: Solve for x
    x = 16,519,844,373.38/148,562.86
  6. Step 6: Final answer
    x = 111,197.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.