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Finding the Fourth Proportional to 310,650.84, 465,899.16 and 133,137.72

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Solution

The fourth proportional to 310,650.84, 465,899.16 and 133,137.72 is: 199,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,650.84 : 465,899.16 = 133,137.72 : x
  2. Step 2: Convert to fraction form
    310,650.84/465,899.16 = 133,137.72/x
  3. Step 3: Cross multiply
    310,650.84x = 465,899.16 × 133,137.72
  4. Step 4: Simplify right side
    310,650.84x = 62,028,751,912.32
  5. Step 5: Solve for x
    x = 62,028,751,912.32/310,650.84
  6. Step 6: Final answer
    x = 199,673.54

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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.