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Finding the Fourth Proportional to 281,446.80, 388,384.92 and 154,120.20

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Solution

The fourth proportional to 281,446.80, 388,384.92 and 154,120.20 is: 212,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,446.80 : 388,384.92 = 154,120.20 : x
  2. Step 2: Convert to fraction form
    281,446.80/388,384.92 = 154,120.20/x
  3. Step 3: Cross multiply
    281,446.80x = 388,384.92 × 154,120.20
  4. Step 4: Simplify right side
    281,446.80x = 59,857,961,547.38
  5. Step 5: Solve for x
    x = 59,857,961,547.38/281,446.80
  6. Step 6: Final answer
    x = 212,679.49

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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.