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Finding the Fourth Proportional to 281,447.80, 388,398.16 and 154,123.42

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Solution

The fourth proportional to 281,447.80, 388,398.16 and 154,123.42 is: 212,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,447.80 : 388,398.16 = 154,123.42 : x
  2. Step 2: Convert to fraction form
    281,447.80/388,398.16 = 154,123.42/x
  3. Step 3: Cross multiply
    281,447.80x = 388,398.16 × 154,123.42
  4. Step 4: Simplify right side
    281,447.80x = 59,861,252,740.91
  5. Step 5: Solve for x
    x = 59,861,252,740.91/281,447.80
  6. Step 6: Final answer
    x = 212,690.43

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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.