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Finding the Fourth Proportional to 275,077.84, 412,758.90 and 117,263.92

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Solution

The fourth proportional to 275,077.84, 412,758.90 and 117,263.92 is: 175,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,077.84 : 412,758.90 = 117,263.92 : x
  2. Step 2: Convert to fraction form
    275,077.84/412,758.90 = 117,263.92/x
  3. Step 3: Cross multiply
    275,077.84x = 412,758.90 × 117,263.92
  4. Step 4: Simplify right side
    275,077.84x = 48,401,726,628.89
  5. Step 5: Solve for x
    x = 48,401,726,628.89/275,077.84
  6. Step 6: Final answer
    x = 175,956.47

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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.