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Finding the Fourth Proportional to 306,485.82, 459,793.53 and 96,145.02

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Solution

The fourth proportional to 306,485.82, 459,793.53 and 96,145.02 is: 144,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,485.82 : 459,793.53 = 96,145.02 : x
  2. Step 2: Convert to fraction form
    306,485.82/459,793.53 = 96,145.02/x
  3. Step 3: Cross multiply
    306,485.82x = 459,793.53 × 96,145.02
  4. Step 4: Simplify right side
    306,485.82x = 44,206,858,137.72
  5. Step 5: Solve for x
    x = 44,206,858,137.72/306,485.82
  6. Step 6: Final answer
    x = 144,237.86

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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.