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Finding the Fourth Proportional to 281,063.80, 420,720.90 and 162,382.60

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Solution

The fourth proportional to 281,063.80, 420,720.90 and 162,382.60 is: 243,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,063.80 : 420,720.90 = 162,382.60 : x
  2. Step 2: Convert to fraction form
    281,063.80/420,720.90 = 162,382.60/x
  3. Step 3: Cross multiply
    281,063.80x = 420,720.90 × 162,382.60
  4. Step 4: Simplify right side
    281,063.80x = 68,317,753,616.34
  5. Step 5: Solve for x
    x = 68,317,753,616.34/281,063.80
  6. Step 6: Final answer
    x = 243,068.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.