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Finding the Fourth Proportional to 365,993.54, 548,928.02 and 99,691.76

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Solution

The fourth proportional to 365,993.54, 548,928.02 and 99,691.76 is: 149,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,993.54 : 548,928.02 = 99,691.76 : x
  2. Step 2: Convert to fraction form
    365,993.54/548,928.02 = 99,691.76/x
  3. Step 3: Cross multiply
    365,993.54x = 548,928.02 × 99,691.76
  4. Step 4: Simplify right side
    365,993.54x = 54,723,602,048.66
  5. Step 5: Solve for x
    x = 54,723,602,048.66/365,993.54
  6. Step 6: Final answer
    x = 149,520.68

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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.