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Finding the Fourth Proportional to 145,042.20, 200,157.66 and 81,380.22

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Solution

The fourth proportional to 145,042.20, 200,157.66 and 81,380.22 is: 112,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,042.20 : 200,157.66 = 81,380.22 : x
  2. Step 2: Convert to fraction form
    145,042.20/200,157.66 = 81,380.22/x
  3. Step 3: Cross multiply
    145,042.20x = 200,157.66 × 81,380.22
  4. Step 4: Simplify right side
    145,042.20x = 16,288,874,405.49
  5. Step 5: Solve for x
    x = 16,288,874,405.49/145,042.20
  6. Step 6: Final answer
    x = 112,304.38

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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.