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Finding the Fourth Proportional to 365,768.05, 548,596.64 and 99,549.31

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Solution

The fourth proportional to 365,768.05, 548,596.64 and 99,549.31 is: 149,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,768.05 : 548,596.64 = 99,549.31 : x
  2. Step 2: Convert to fraction form
    365,768.05/548,596.64 = 99,549.31/x
  3. Step 3: Cross multiply
    365,768.05x = 548,596.64 × 99,549.31
  4. Step 4: Simplify right side
    365,768.05x = 54,612,415,111.08
  5. Step 5: Solve for x
    x = 54,612,415,111.08/365,768.05
  6. Step 6: Final answer
    x = 149,308.87

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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.