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Finding the Fourth Proportional to 144,856.80, 217,285.20 and 132,415.20

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Solution

The fourth proportional to 144,856.80, 217,285.20 and 132,415.20 is: 198,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,856.80 : 217,285.20 = 132,415.20 : x
  2. Step 2: Convert to fraction form
    144,856.80/217,285.20 = 132,415.20/x
  3. Step 3: Cross multiply
    144,856.80x = 217,285.20 × 132,415.20
  4. Step 4: Simplify right side
    144,856.80x = 28,771,863,215.04
  5. Step 5: Solve for x
    x = 28,771,863,215.04/144,856.80
  6. Step 6: Final answer
    x = 198,622.80

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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.