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Finding the Fourth Proportional to 156,414.90, 215,976.81 and 144,473.94

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Solution

The fourth proportional to 156,414.90, 215,976.81 and 144,473.94 is: 199,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,414.90 : 215,976.81 = 144,473.94 : x
  2. Step 2: Convert to fraction form
    156,414.90/215,976.81 = 144,473.94/x
  3. Step 3: Cross multiply
    156,414.90x = 215,976.81 × 144,473.94
  4. Step 4: Simplify right side
    156,414.90x = 31,203,020,689.33
  5. Step 5: Solve for x
    x = 31,203,020,689.33/156,414.90
  6. Step 6: Final answer
    x = 199,488.80

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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.