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Finding the Fourth Proportional to 148,830.28, 205,386 and 80,847.27

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Solution

The fourth proportional to 148,830.28, 205,386 and 80,847.27 is: 111,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,830.28 : 205,386 = 80,847.27 : x
  2. Step 2: Convert to fraction form
    148,830.28/205,386 = 80,847.27/x
  3. Step 3: Cross multiply
    148,830.28x = 205,386 × 80,847.27
  4. Step 4: Simplify right side
    148,830.28x = 16,604,897,396.22
  5. Step 5: Solve for x
    x = 16,604,897,396.22/148,830.28
  6. Step 6: Final answer
    x = 111,569.35

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