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Finding the Fourth Proportional to 203,477.84, 304,823.16 and 114,460.88

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Solution

The fourth proportional to 203,477.84, 304,823.16 and 114,460.88 is: 171,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,477.84 : 304,823.16 = 114,460.88 : x
  2. Step 2: Convert to fraction form
    203,477.84/304,823.16 = 114,460.88/x
  3. Step 3: Cross multiply
    203,477.84x = 304,823.16 × 114,460.88
  4. Step 4: Simplify right side
    203,477.84x = 34,890,327,137.98
  5. Step 5: Solve for x
    x = 34,890,327,137.98/203,477.84
  6. Step 6: Final answer
    x = 171,469.91

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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.