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Finding the Fourth Proportional to 223,353.36, 308,541.42 and 203,174.64

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Solution

The fourth proportional to 223,353.36, 308,541.42 and 203,174.64 is: 280,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,353.36 : 308,541.42 = 203,174.64 : x
  2. Step 2: Convert to fraction form
    223,353.36/308,541.42 = 203,174.64/x
  3. Step 3: Cross multiply
    223,353.36x = 308,541.42 × 203,174.64
  4. Step 4: Simplify right side
    223,353.36x = 62,687,791,933.59
  5. Step 5: Solve for x
    x = 62,687,791,933.59/223,353.36
  6. Step 6: Final answer
    x = 280,666.44

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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.