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Finding the Fourth Proportional to 281,345, 421,995.42 and 123,574.76

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Solution

The fourth proportional to 281,345, 421,995.42 and 123,574.76 is: 185,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,345 : 421,995.42 = 123,574.76 : x
  2. Step 2: Convert to fraction form
    281,345/421,995.42 = 123,574.76/x
  3. Step 3: Cross multiply
    281,345x = 421,995.42 × 123,574.76
  4. Step 4: Simplify right side
    281,345x = 52,147,982,747.60
  5. Step 5: Solve for x
    x = 52,147,982,747.60/281,345
  6. Step 6: Final answer
    x = 185,352.44

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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.