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Finding the Fourth Proportional to 313,171.63, 469,753.35 and 76,516.36

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Solution

The fourth proportional to 313,171.63, 469,753.35 and 76,516.36 is: 114,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,171.63 : 469,753.35 = 76,516.36 : x
  2. Step 2: Convert to fraction form
    313,171.63/469,753.35 = 76,516.36/x
  3. Step 3: Cross multiply
    313,171.63x = 469,753.35 × 76,516.36
  4. Step 4: Simplify right side
    313,171.63x = 35,943,816,740.06
  5. Step 5: Solve for x
    x = 35,943,816,740.06/313,171.63
  6. Step 6: Final answer
    x = 114,773.54

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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.