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Finding the Fourth Proportional to 203,694, 281,099.64 and 114,271.92

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Solution

The fourth proportional to 203,694, 281,099.64 and 114,271.92 is: 157,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,694 : 281,099.64 = 114,271.92 : x
  2. Step 2: Convert to fraction form
    203,694/281,099.64 = 114,271.92/x
  3. Step 3: Cross multiply
    203,694x = 281,099.64 × 114,271.92
  4. Step 4: Simplify right side
    203,694x = 32,121,795,574.11
  5. Step 5: Solve for x
    x = 32,121,795,574.11/203,694
  6. Step 6: Final answer
    x = 157,696.33

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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.