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Finding the Fourth Proportional to 148,411.20, 204,807 and 80,430.12

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Solution

The fourth proportional to 148,411.20, 204,807 and 80,430.12 is: 110,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,411.20 : 204,807 = 80,430.12 : x
  2. Step 2: Convert to fraction form
    148,411.20/204,807 = 80,430.12/x
  3. Step 3: Cross multiply
    148,411.20x = 204,807 × 80,430.12
  4. Step 4: Simplify right side
    148,411.20x = 16,472,651,586.84
  5. Step 5: Solve for x
    x = 16,472,651,586.84/148,411.20
  6. Step 6: Final answer
    x = 110,993.32

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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.