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Finding the Fourth Proportional to 229,634.80, 343,837.80 and 146,076.40

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Solution

The fourth proportional to 229,634.80, 343,837.80 and 146,076.40 is: 218,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,634.80 : 343,837.80 = 146,076.40 : x
  2. Step 2: Convert to fraction form
    229,634.80/343,837.80 = 146,076.40/x
  3. Step 3: Cross multiply
    229,634.80x = 343,837.80 × 146,076.40
  4. Step 4: Simplify right side
    229,634.80x = 50,226,588,007.92
  5. Step 5: Solve for x
    x = 50,226,588,007.92/229,634.80
  6. Step 6: Final answer
    x = 218,723.76

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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.