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Finding the Fourth Proportional to 223,234.92, 308,145.06 and 147,807.72

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Solution

The fourth proportional to 223,234.92, 308,145.06 and 147,807.72 is: 204,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,234.92 : 308,145.06 = 147,807.72 : x
  2. Step 2: Convert to fraction form
    223,234.92/308,145.06 = 147,807.72/x
  3. Step 3: Cross multiply
    223,234.92x = 308,145.06 × 147,807.72
  4. Step 4: Simplify right side
    223,234.92x = 45,546,218,747.86
  5. Step 5: Solve for x
    x = 45,546,218,747.86/223,234.92
  6. Step 6: Final answer
    x = 204,028.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.