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Finding the Fourth Proportional to 223,134.56, 307,665.54 and 166,447.52

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Solution

The fourth proportional to 223,134.56, 307,665.54 and 166,447.52 is: 229,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,134.56 : 307,665.54 = 166,447.52 : x
  2. Step 2: Convert to fraction form
    223,134.56/307,665.54 = 166,447.52/x
  3. Step 3: Cross multiply
    223,134.56x = 307,665.54 × 166,447.52
  4. Step 4: Simplify right side
    223,134.56x = 51,210,166,122.46
  5. Step 5: Solve for x
    x = 51,210,166,122.46/223,134.56
  6. Step 6: Final answer
    x = 229,503.52

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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.