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Finding the Fourth Proportional to 205,225.52, 308,305.44 and 148,474.52

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Solution

The fourth proportional to 205,225.52, 308,305.44 and 148,474.52 is: 223,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,225.52 : 308,305.44 = 148,474.52 : x
  2. Step 2: Convert to fraction form
    205,225.52/308,305.44 = 148,474.52/x
  3. Step 3: Cross multiply
    205,225.52x = 308,305.44 × 148,474.52
  4. Step 4: Simplify right side
    205,225.52x = 45,775,502,217.39
  5. Step 5: Solve for x
    x = 45,775,502,217.39/205,225.52
  6. Step 6: Final answer
    x = 223,049.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.