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Finding the Fourth Proportional to 203,964.66, 281,473.65 and 123,400.98

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Solution

The fourth proportional to 203,964.66, 281,473.65 and 123,400.98 is: 170,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,964.66 : 281,473.65 = 123,400.98 : x
  2. Step 2: Convert to fraction form
    203,964.66/281,473.65 = 123,400.98/x
  3. Step 3: Cross multiply
    203,964.66x = 281,473.65 × 123,400.98
  4. Step 4: Simplify right side
    203,964.66x = 34,734,124,254.18
  5. Step 5: Solve for x
    x = 34,734,124,254.18/203,964.66
  6. Step 6: Final answer
    x = 170,294.82

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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.